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  1 X^2  1  X X^2+X  1  1  1  1 X^2 X^2+X  0 X^2+X  1  X  1  1  1  0  1 X^2 X^2+X X^2+X  1  1  1  1  X  1  1  X  1  1  0 X^2+X  1 X^2 X^2+X X^2+X  X  1  1  1  1  1  1  1  1  1 X^2+X  X  1 X^2  1  1  1  1  0  1  1  1  1  1  0  1  1 X^2 X^2+X  1  1  0  1  1  0
 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  0  1 X+1  X  1  X  X X+1 X^2+X+1  1  0  1  1 X^2+X  1 X^2  1 X^2+1 X^2+X X^2+X+1  1 X^2  1 X^2+X+1 X^2+X X^2+1 X^2+X  X X^2+X X+1  1 X^2  0  1  1  1  1  1  1 X^2+X X^2+X+1 X^2+X X^2+X+1 X^2 X^2+X+1 X^2+X+1  0 X^2+1  0  1  1 X^2+1 X^2 X^2+X X^2 X^2+X  1  0  X  0 X^2+1 X^2+1 X^2+X+1  1  X  1  1  1 X+1 X^2+X+1  1  0 X^2+X  X
 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 X^2 X^2+1 X^2+X+1  1 X^2+X+1 X^2+X+1 X^2+X  X X^2+1 X^2  1 X^2+1 X^2 X+1 X+1  0 X+1 X^2+X  1 X+1  0  1 X^2+X  0 X+1  1 X^2  1  X X+1  X X^2+X X^2+1 X^2+X+1  0  0  0 X^2+1 X^2+1  1 X^2  X  1  0 X^2+1 X+1 X^2  X X^2+X X^2+X+1 X+1 X^2  1 X^2 X^2+X  0 X^2+X  1 X+1 X^2+1 X+1 X^2+1  X X^2+X+1  0  0 X^2+X+1 X+1  X X^2+1  1 X^2+1 X^2+1  1
 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  0  0 X^2  0 X^2  0 X^2  0 X^2 X^2  0 X^2  0 X^2  0  0  0  0 X^2 X^2 X^2  0 X^2 X^2  0 X^2  0  0 X^2  0 X^2  0 X^2 X^2  0  0 X^2  0  0 X^2 X^2 X^2  0 X^2 X^2  0  0 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  0  0 X^2  0  0  0 X^2 X^2  0 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2  0 X^2 X^2  0  0  0  0 X^2 X^2 X^2  0  0 X^2 X^2 X^2  0  0  0 X^2 X^2  0  0 X^2  0  0  0 X^2 X^2 X^2  0 X^2  0 X^2  0 X^2  0  0  0 X^2  0 X^2  0  0 X^2  0 X^2 X^2  0 X^2 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  0  0  0 X^2 X^2  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0  0 X^2  0  0  0  0 X^2  0  0 X^2  0  0  0 X^2  0 X^2  0  0  0  0  0 X^2  0  0 X^2 X^2 X^2  0 X^2  0 X^2 X^2 X^2 X^2  0 X^2  0  0 X^2  0  0  0 X^2  0 X^2  0 X^2  0 X^2 X^2 X^2 X^2  0 X^2  0  0  0 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+100x^91+246x^92+268x^93+484x^94+376x^95+381x^96+292x^97+373x^98+220x^99+266x^100+200x^101+209x^102+112x^103+145x^104+88x^105+92x^106+64x^107+36x^108+44x^109+46x^110+16x^111+12x^112+4x^113+11x^114+8x^115+1x^118+1x^120

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 1.68 seconds.