The generator matrix

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

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+267x^92+1164x^93+1693x^94+2376x^95+2932x^96+3288x^97+3475x^98+3284x^99+3549x^100+3340x^101+2200x^102+1938x^103+1246x^104+886x^105+447x^106+244x^107+206x^108+62x^109+81x^110+42x^111+17x^112+10x^113+8x^114+4x^115+4x^116+2x^117+2x^120

The gray image is a linear code over GF(2) with n=792, k=15 and d=368.
This code was found by Heurico 1.16 in 23.6 seconds.