The generator matrix

 1  0  1  1  1  X  1  1 X^2+X  1  1  X X^3+X^2+X X^2  1  1 X^3+X^2  1  1  1  1  1  1 X^2  1  0  1  1 X^3+X^2+X  1  1  1 X^3 X^3+X  1 X^3+X  1  1  1 X^2+X  1  1 X^3+X^2  1 X^3  1  1  1  1  1  1  X  1  1  1  0 X^3+X^2+X  1  1 X^3+X^2  1  1 X^3+X  1 X^2  1 X^2 X^2+X  0  1  1  1  X  1 X^2+X X^3  1 X^3+X^2+X X^2  1  1 X^3+X X^3+X X^3  X X^2+X  X  1 X^3+X X^3+X^2  1  1 X^3+X^2  1
 0  1  1 X^2 X+1  1  X X^3+1  1 X^2+X X^3+X+1  1  1  1  0 X^3+X^2+X+1  1 X^3+X^2 X^2+X+1 X^2+1 X^2+X X^3+X^2+X X^3+X^2+1  1 X^3  1 X^3+X^2+1 X^3+X  1 X^3+X X^3+1 X+1  1  1 X^2+1  1 X+1 X^3+X^2  0  1  X X^3+X^2+X+1  1  1  1 X^3+X^2+X+1 X^2+X X^3 X^3 X^3+X^2 X^3+X^2  X  0 X^2  0  1  1 X^3+X^2 X^3+X^2  1 X^3+X^2+X X^3+X  1 X^2+X  1 X^3+X  1  1  1  X X^3+X X^3+X  0 X^2+X  1  1 X^3  1  1 X^3+X^2+X X^3+X^2+X  1  1  1  1  1  0 X^3+X^2  1  1 X^3+X^2+1 X+1  1  0
 0  0  X X^3+X X^3 X^3+X X^3+X X^3  0  0  X X^2+X X^3+X^2 X^2 X^3+X^2 X^3+X^2+X X^2+X X^2+X X^2 X^2+X X^2 X^3+X X^3+X^2 X^3+X  X X^3+X^2  X  0  X X^3+X^2+X X^2 X^3+X^2+X  X X^2 X^3  0 X^3+X^2 X^2 X^3+X^2+X X^2+X X^3+X^2 X^3+X  0 X^3+X^2+X X^2+X X^3 X^3+X^2+X  0 X^2 X^3  0 X^3+X X^3+X X^3+X^2 X^2+X X^3+X X^3+X  X X^3+X^2+X  X X^2+X X^2 X^3+X^2+X  X X^3+X^2 X^3 X^2+X X^2 X^3 X^3+X^2+X X^3+X^2  X X^3 X^3 X^3 X^2 X^3+X^2+X X^2+X  0  X  0 X^3+X^2  X X^3+X^2+X  0  X  X X^3+X^2 X^3 X^3+X^2 X^3+X X^2 X^2  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+66x^90+274x^91+375x^92+248x^93+283x^94+204x^95+267x^96+176x^97+61x^98+34x^99+24x^100+24x^101+4x^106+5x^108+1x^110+1x^146

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 2.08 seconds.