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

generates a code of length 95 over Z2[X]/(X^4) who´s minimum homogenous weight is 91.

Homogenous weight enumerator: w(x)=1x^0+122x^91+87x^92+226x^93+296x^94+604x^95+334x^96+220x^97+8x^98+74x^99+41x^100+34x^101+1x^184

The gray image is a linear code over GF(2) with n=760, k=11 and d=364.
This code was found by Heurico 1.16 in 49.1 seconds.