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

generates a code of length 95 over Z2[X]/(X^4) who´s minimum homogenous weight is 90.

Homogenous weight enumerator: w(x)=1x^0+108x^90+111x^92+420x^94+768x^95+431x^96+100x^98+96x^100+12x^102+1x^188

The gray image is a linear code over GF(2) with n=760, k=11 and d=360.
This code was found by Heurico 1.16 in 1.28 seconds.