The generator matrix

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

generates a code of length 93 over Z2[X]/(X^3) who´s minimum homogenous weight is 83.

Homogenous weight enumerator: w(x)=1x^0+242x^83+628x^84+854x^85+1330x^86+1490x^87+1862x^88+1914x^89+2481x^90+2092x^91+2646x^92+2250x^93+2565x^94+2234x^95+2137x^96+1872x^97+1721x^98+1228x^99+1144x^100+728x^101+607x^102+334x^103+202x^104+90x^105+58x^106+26x^107+14x^108+4x^109+6x^110+2x^111+6x^112

The gray image is a linear code over GF(2) with n=372, k=15 and d=166.
This code was found by Heurico 1.16 in 60.8 seconds.