The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 X^3  1  1  1  1  1  1  1  X  1  1  1  X  1  1  1  1  X  1  1  1 X^2  1  0  1 X^2  1  X  1 X^2  1  1  1  X  1 X^2  X X^2 X^3+X^2  1 X^3+X^2  X  1
 0  X  0 X^3+X^2+X X^2 X^2+X X^3+X^2  X  0 X^2+X X^3 X^2+X X^3+X X^2 X^2  X  0 X^2+X X^2 X^3+X X^3 X^3+X X^3 X^3+X X^2+X  0 X^2 X^3+X X^3+X^2  X X^2 X^2+X X^3 X^3+X X^3+X X^3+X^2 X^3+X^2+X X^3+X^2  0  X X^2+X X^3+X^2+X X^2  0 X^3+X X^3+X X^3+X^2 X^2  0  0 X^3 X^3+X^2  X X^2+X X^3+X^2+X X^2  X X^2+X X^2 X^3+X  0 X^3+X^2+X X^3+X X^2+X X^2+X  X X^2 X^3+X X^3+X^2+X  X  0  0 X^2+X X^2+X X^3 X^3  0  X X^2+X  X X^2 X^3  0 X^2 X^3+X^2+X  X  X X^3 X^3 X^3+X^2 X^3+X^2+X X^2 X^3+X^2+X  X  X X^3+X^2  X X^2+X  0
 0  0 X^3+X^2  0 X^2  0 X^3  0 X^2 X^2 X^3 X^3+X^2 X^3+X^2 X^3+X^2  0 X^2  0 X^3+X^2 X^3 X^3+X^2 X^2 X^3 X^2  0  0  0 X^3+X^2 X^3+X^2 X^3+X^2  0 X^3 X^2 X^2 X^2 X^3 X^3  0  0 X^3+X^2 X^3 X^2 X^2  0 X^3 X^3+X^2 X^3 X^2  0 X^2 X^3+X^2 X^3+X^2 X^3+X^2 X^3 X^3+X^2 X^3+X^2 X^3 X^2 X^2 X^3 X^2  0 X^3 X^3+X^2 X^3 X^3+X^2 X^3+X^2 X^2 X^3  0 X^3+X^2 X^3 X^3+X^2 X^3+X^2 X^3  0 X^2  0 X^2 X^3 X^3  0 X^3+X^2  0 X^3+X^2 X^2  0  0 X^2 X^3  0 X^2  0 X^3  0 X^2 X^3+X^2 X^3+X^2 X^2  0
 0  0  0 X^3+X^2  0 X^3 X^3 X^2 X^2 X^2 X^2  0  0 X^2 X^3+X^2 X^2 X^3 X^3+X^2 X^3+X^2 X^3  0 X^3+X^2 X^3+X^2 X^3  0 X^3+X^2 X^3+X^2 X^2 X^3 X^3+X^2  0 X^3  0  0 X^2  0 X^3+X^2 X^2 X^3+X^2 X^3 X^2 X^3+X^2  0  0  0 X^3 X^3+X^2 X^2 X^2  0 X^3 X^3+X^2 X^3+X^2  0 X^3 X^3+X^2 X^3  0 X^2 X^3+X^2  0 X^3 X^3+X^2  0 X^2 X^2 X^3 X^2 X^2 X^3 X^2 X^2 X^2 X^3 X^3 X^3 X^2  0  0  0 X^3+X^2 X^3+X^2 X^3+X^2 X^2  0 X^2 X^3+X^2 X^3+X^2 X^3 X^3+X^2 X^3  0 X^2 X^2 X^2 X^3 X^3+X^2 X^2 X^3
 0  0  0  0 X^3 X^3 X^3 X^3  0  0  0 X^3  0 X^3 X^3 X^3  0  0 X^3  0  0 X^3  0  0 X^3  0 X^3 X^3 X^3  0 X^3 X^3 X^3  0  0  0 X^3 X^3 X^3 X^3 X^3  0  0 X^3 X^3  0  0  0 X^3 X^3  0  0  0  0 X^3  0  0  0 X^3  0 X^3  0 X^3 X^3 X^3  0  0 X^3  0 X^3 X^3  0 X^3 X^3 X^3  0 X^3 X^3  0  0  0  0 X^3  0 X^3  0 X^3 X^3  0  0  0  0 X^3 X^3  0  0 X^3  0  0

generates a code of length 99 over Z2[X]/(X^4) who´s minimum homogenous weight is 92.

Homogenous weight enumerator: w(x)=1x^0+25x^92+200x^93+156x^94+290x^95+230x^96+402x^97+550x^98+572x^99+426x^100+424x^101+212x^102+212x^103+127x^104+126x^105+34x^106+52x^107+23x^108+12x^109+5x^110+10x^111+4x^113+2x^114+1x^166

The gray image is a linear code over GF(2) with n=792, k=12 and d=368.
This code was found by Heurico 1.16 in 2.19 seconds.