The generator matrix

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

generates a code of length 99 over Z2[X]/(X^4) who´s minimum homogenous weight is 93.

Homogenous weight enumerator: w(x)=1x^0+228x^93+981x^94+1482x^95+1638x^96+1756x^97+1959x^98+1534x^99+1605x^100+1512x^101+1180x^102+792x^103+660x^104+360x^105+286x^106+176x^107+77x^108+64x^109+41x^110+28x^111+11x^112+7x^114+2x^115+2x^118+2x^119

The gray image is a linear code over GF(2) with n=792, k=14 and d=372.
This code was found by Heurico 1.16 in 8.33 seconds.