The generator matrix

 1  0  0  0  1  1  1  1  1  1  1  1  1  1  X  1  1  1  1  1  0 2X  1  1  1  1  1  1  X  1  1  1 2X  X  1  1  1  1 2X  1  1  0  1  1  1 2X  1  1  1
 0  1  0  0 2X  0  X  X 2X 2X 2X 2X 2X+1  1  1 2X+2 2X+1 X+1  2 X+2  1  1 2X+2  1  2 2X+2  1 2X+1  1 2X+2  2  0  1  1  X X+2  0 X+1  1 X+2  X  X 2X  1  1  X  2 X+1 2X+1
 0  0  1  0  0  X 2X+1  2 2X+1  2 X+1 X+2 2X+2  2  X  1  0 X+1 2X+1 2X+2  2  2  2  1 2X 2X+2 2X+2 2X X+1  X X+1 2X+1 2X+2 2X+1 2X+2  1  1  X  0 2X X+2  1 2X+1 2X+1 X+2  0  1 2X X+2
 0  0  0  1 2X+1 2X+2 2X+1  1 2X+2  0  X  2 X+2 X+1 2X+2 2X+1 X+1 2X 2X X+1  2 2X+1 2X  1 X+2  2  0 2X  1 X+1 2X+2  1 2X  0  X  2 X+2  2  1  2  X X+2 X+2  2 X+1  1  0  2  X

generates a code of length 49 over Z3[X]/(X^2) who´s minimum homogenous weight is 89.

Homogenous weight enumerator: w(x)=1x^0+306x^89+242x^90+786x^92+500x^93+858x^95+348x^96+786x^98+350x^99+570x^101+350x^102+600x^104+204x^105+324x^107+154x^108+120x^110+32x^111+18x^113+6x^114+6x^116

The gray image is a linear code over GF(3) with n=147, k=8 and d=89.
This code was found by Heurico 1.16 in 0.533 seconds.