The generator matrix

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

generates a code of length 93 over Z2[X]/(X^4) who´s minimum homogenous weight is 92.

Homogenous weight enumerator: w(x)=1x^0+282x^92+192x^94+31x^96+3x^100+2x^108+1x^132

The gray image is a linear code over GF(2) with n=744, k=9 and d=368.
This code was found by Heurico 1.16 in 0.594 seconds.