The generator matrix

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

generates a code of length 99 over Z2[X]/(X^4) who´s minimum homogenous weight is 95.

Homogenous weight enumerator: w(x)=1x^0+222x^95+798x^96+556x^97+652x^98+400x^99+420x^100+184x^101+268x^102+170x^103+147x^104+68x^105+84x^106+48x^107+57x^108+16x^109+2x^114+1x^116+2x^118

The gray image is a linear code over GF(2) with n=792, k=12 and d=380.
This code was found by Heurico 1.16 in 16.5 seconds.