The generator matrix

 1  0  0  0  1  1  1  1 X^3  1  0  1  1 X^2  X  1  1  1  X  1 X^3+X^2+X X^3+X^2  1  1  1 X^2+X  X  1 X^2  X  1  1 X^2+X  1 X^3+X^2+X  1 X^3+X^2  X X^2+X  1  0 X^2  1  1  X  1  1  1  1  1  0  1  1  1 X^2+X  X X^3 X^2  1 X^2  0 X^3 X^3+X  1 X^3+X^2+X  1 X^3+X  0  1  1  1  1  1 X^3  1  1 X^3+X^2+X  1  1 X^2+X  1  1  0  X  1  1  1  1 X^2 X^3+X  X  1  1
 0  1  0  0  X X^2+1 X^3  1  1 X^3+X X^3+X X+1 X^3+X+1  1  1 X^3 X^3+X^2+1 X^3+X^2+X+1 X^2 X^2 X^3+X^2+X X^3+X X^3+X^2+1 X^2+X X^3+X^2+1  1  1 X^2+X  1  1  X X^2 X^3+X X^3+X^2 X^3 X^3+X+1 X^3  1  1 X^2+1  1  1 X+1 X^2  1 X^3+X^2+X X^3+X^2+X+1 X^3+X^2+X+1  1 X^3+1  1 X^3+X X^3+X+1  0 X^3+X^2+X X^3  1 X^3+X^2  1  1  1  1 X^2+X X^3+X^2  1 X^2+X  1  1  X X^3+X^2+1 X^2+X X+1 X^3+X X^2 X^2+X X^3+X^2+1 X^3+X^2+X X^2+X X^3+X^2+X  1 X^3+X^2+X X^3+X X^3+X^2+X  1 X+1 X^3+X^2+X+1 X^3 X^3+1  1 X^2+X  1 X^3+X  0
 0  0  1  0  0 X^3 X^3+X^2+1  1 X^3+1 X^3+X^2+X+1  1 X+1 X^3+X  X X^3+X^2+X+1 X^3+X^2+X X^3+1 X+1  1 X^3+X+1 X^2  1 X^3 X^3 X^3+X X^3+X^2+1 X^2 X^3+1  0 X^3+X+1 X^2+X X+1  1 X^3+X^2+X X^2+X X^2  1 X^3+X^2+1 X^3+X^2+1 X^2+X+1 X^3+X^2 X^3+X  1 X^2+1 X^3+X X^2+X+1 X^3+X^2+1 X^3+X^2+X X^3+X^2+X+1  0 X^3+X^2+1  1 X^3 X^3+X^2+X X^2+X  1 X+1 X^2 X^2  1 X^2+X X^3+X^2 X^3+X X^2 X^2+X X^3+X^2+1 X^3 X^2+1  X X^2+X+1 X^3+X+1 X^3  1  1 X^3+X^2+1 X^2+1  1 X+1  X X^2+X+1 X^3+X^2+X X^3+X+1  1  1  X X^3 X^3+1 X^3+X^2+X X^3+X  1 X^2+X  X  0
 0  0  0  1  1 X^3+X+1 X+1 X^3 X+1 X^3  1 X^2+X+1 X^3+X^2 X^2+1 X^2+X X^3+X^2+X+1 X^3+X X^3+1 X^3+X^2+X+1 X^3+X  1 X^3+X^2+X  X X^2 X^3+1 X^3 X^3+X^2+1 X^2+X+1 X^3+X^2+X X^3+X^2+1 X^2+X+1 X^3 X^2 X^3  1 X^2+X X^2+X  1 X^3+X^2+X X^3+X^2 X^3+X^2+1  X X+1 X^2+1  0  1 X^3+X^2 X^3+X+1 X^3+X^2+X+1 X^3+X^2+X+1 X^3+X^2  0 X^3  X  1 X^2+1 X^2+X  1 X^3+X^2 X^3+1 X^2+X X^2+X+1  1 X^3+X+1 X^3+X^2+1 X^3+X^2+X X^3+X^2+X X^3+X X^2+X  X X^3+X X^3  1 X+1 X^3+X^2+X+1 X+1 X^3+X+1 X^2 X^3 X^3+X^2  1 X^2+X+1  0 X^3+X^2+X X^3+X X^3+X^2+1 X^2+X X^2+X X^3  0 X^3+X+1 X^3+X^2  0
 0  0  0  0 X^3  0  0  0  0 X^3 X^3 X^3 X^3 X^3 X^3 X^3  0 X^3 X^3 X^3  0  0 X^3  0  0 X^3  0 X^3 X^3 X^3  0  0 X^3 X^3 X^3  0  0 X^3  0 X^3 X^3 X^3  0  0  0 X^3  0  0  0 X^3  0 X^3 X^3  0  0 X^3 X^3 X^3 X^3  0  0 X^3 X^3 X^3  0  0  0 X^3  0  0 X^3  0  0  0 X^3 X^3  0  0  0 X^3  0  0  0 X^3  0 X^3 X^3 X^3  0  0  0  0  0

generates a code of length 93 over Z2[X]/(X^4) who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+112x^84+950x^85+2068x^86+4166x^87+5508x^88+8414x^89+10253x^90+13044x^91+13808x^92+15162x^93+14052x^94+12948x^95+9910x^96+8022x^97+5279x^98+3766x^99+1565x^100+1040x^101+530x^102+268x^103+90x^104+44x^105+37x^106+14x^107+13x^108+4x^110+2x^111+1x^112+1x^122

The gray image is a linear code over GF(2) with n=744, k=17 and d=336.
This code was found by Heurico 1.16 in 219 seconds.