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

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+91x^90+8x^91+158x^92+48x^93+175x^94+1168x^95+163x^96+48x^97+78x^98+8x^99+44x^100+23x^102+17x^104+17x^106+1x^176

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 1.2 seconds.