The generator matrix

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

generates a code of length 92 over Z2[X]/(X^3) who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+53x^80+86x^81+151x^82+246x^83+368x^84+534x^85+677x^86+808x^87+1034x^88+1112x^89+1268x^90+1358x^91+1265x^92+1346x^93+1178x^94+1114x^95+976x^96+784x^97+638x^98+440x^99+316x^100+180x^101+128x^102+98x^103+59x^104+42x^105+35x^106+28x^107+19x^108+12x^109+16x^110+4x^111+4x^112+3x^114+1x^118+1x^120+1x^122

The gray image is a linear code over GF(2) with n=368, k=14 and d=160.
This code was found by Heurico 1.16 in 23.2 seconds.