The generator matrix

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

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+194x^84+44x^85+450x^86+228x^87+733x^88+252x^89+838x^90+336x^91+1062x^92+300x^93+782x^94+384x^95+866x^96+260x^97+574x^98+192x^99+348x^100+40x^101+114x^102+12x^103+75x^104+38x^106+34x^108+14x^110+10x^112+6x^114+2x^116+2x^120+1x^128

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 6.59 seconds.