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

generates a code of length 94 over Z2[X]/(X^4) who´s minimum homogenous weight is 90.

Homogenous weight enumerator: w(x)=1x^0+136x^90+40x^91+197x^92+344x^93+624x^94+344x^95+194x^96+40x^97+104x^98+23x^100+1x^184

The gray image is a linear code over GF(2) with n=752, k=11 and d=360.
This code was found by Heurico 1.16 in 1.09 seconds.