The generator matrix

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

generates a code of length 98 over Z2[X]/(X^3) who´s minimum homogenous weight is 91.

Homogenous weight enumerator: w(x)=1x^0+104x^91+246x^92+346x^93+358x^94+374x^95+391x^96+352x^97+345x^98+256x^99+199x^100+176x^101+175x^102+214x^103+161x^104+108x^105+83x^106+56x^107+49x^108+30x^109+23x^110+18x^111+8x^112+10x^113+5x^114+2x^119+1x^120+1x^122+2x^126+2x^129

The gray image is a linear code over GF(2) with n=392, k=12 and d=182.
This code was found by Heurico 1.16 in 1.84 seconds.