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

generates a code of length 94 over Z2[X]/(X^4) who´s minimum homogenous weight is 93.

Homogenous weight enumerator: w(x)=1x^0+70x^93+136x^94+16x^95+15x^96+8x^98+8x^101+2x^109

The gray image is a linear code over GF(2) with n=752, k=8 and d=372.
This code was found by Heurico 1.16 in 0.906 seconds.