The generator matrix

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

generates a code of length 94 over Z2[X]/(X^3) who´s minimum homogenous weight is 83.

Homogenous weight enumerator: w(x)=1x^0+66x^83+370x^84+648x^85+893x^86+1228x^87+1377x^88+1700x^89+2066x^90+2186x^91+2367x^92+2512x^93+2473x^94+2338x^95+2369x^96+2182x^97+1833x^98+1698x^99+1331x^100+1004x^101+774x^102+522x^103+326x^104+196x^105+133x^106+72x^107+46x^108+12x^109+14x^110+16x^111+3x^112+2x^113+4x^114+2x^115+2x^116+2x^118

The gray image is a linear code over GF(2) with n=376, k=15 and d=166.
This code was found by Heurico 1.16 in 65.5 seconds.