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

generates a code of length 95 over Z2[X]/(X^4) who´s minimum homogenous weight is 92.

Homogenous weight enumerator: w(x)=1x^0+117x^92+248x^94+256x^95+350x^96+8x^98+39x^100+4x^104+1x^184

The gray image is a linear code over GF(2) with n=760, k=10 and d=368.
This code was found by Heurico 1.16 in 45.2 seconds.