The generator matrix

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

generates a code of length 98 over Z2[X]/(X^3) who´s minimum homogenous weight is 90.

Homogenous weight enumerator: w(x)=1x^0+56x^90+180x^91+252x^92+294x^93+287x^94+316x^95+342x^96+290x^97+299x^98+286x^99+312x^100+254x^101+217x^102+230x^103+136x^104+112x^105+68x^106+46x^107+32x^108+16x^109+20x^110+8x^111+6x^112+4x^113+9x^114+4x^115+4x^116+4x^117+2x^118+2x^119+1x^120+2x^121+1x^122+2x^124+1x^138

The gray image is a linear code over GF(2) with n=392, k=12 and d=180.
This code was found by Heurico 1.16 in 1.91 seconds.