The generator matrix

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

generates a code of length 95 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 89.

Homogenous weight enumerator: w(x)=1x^0+294x^89+802x^90+1482x^91+1697x^92+1786x^93+1781x^94+1934x^95+1441x^96+1434x^97+1075x^98+1010x^99+584x^100+434x^101+303x^102+142x^103+75x^104+52x^105+32x^106+8x^107+9x^108+6x^110+1x^112+1x^114

The gray image is a code over GF(2) with n=760, k=14 and d=356.
This code was found by Heurico 1.16 in 4.72 seconds.