The generator matrix

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

generates a code of length 94 over Z2[X]/(X^3) who´s minimum homogenous weight is 85.

Homogenous weight enumerator: w(x)=1x^0+210x^85+439x^86+712x^87+890x^88+1026x^89+1131x^90+1166x^91+1150x^92+1128x^93+1173x^94+1116x^95+1171x^96+1050x^97+969x^98+836x^99+679x^100+444x^101+356x^102+322x^103+147x^104+126x^105+54x^106+34x^107+19x^108+14x^109+6x^111+7x^112+2x^113+6x^114

The gray image is a linear code over GF(2) with n=376, k=14 and d=170.
This code was found by Heurico 1.13 in 6.08 seconds.