The generator matrix

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

generates a code of length 93 over Z2[X]/(X^3) who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+48x^84+178x^85+406x^86+330x^87+601x^88+604x^89+641x^90+536x^91+728x^92+546x^93+646x^94+446x^95+588x^96+386x^97+454x^98+254x^99+258x^100+164x^101+124x^102+76x^103+65x^104+38x^105+23x^106+18x^107+14x^108+8x^110+4x^111+1x^112+4x^113+2x^114

The gray image is a linear code over GF(2) with n=372, k=13 and d=168.
This code was found by Heurico 1.16 in 5.76 seconds.