The generator matrix

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

generates a code of length 97 over Z2[X]/(X^3) who´s minimum homogenous weight is 90.

Homogenous weight enumerator: w(x)=1x^0+91x^90+292x^91+273x^92+386x^93+346x^94+474x^95+301x^96+376x^97+244x^98+242x^99+196x^100+162x^101+113x^102+134x^103+102x^104+124x^105+73x^106+60x^107+19x^108+32x^109+25x^110+12x^111+4x^112+8x^113+3x^114+2x^115+1x^122

The gray image is a linear code over GF(2) with n=388, k=12 and d=180.
This code was found by Heurico 1.16 in 1.62 seconds.