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

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+4x^92+94x^93+6x^94+12x^95+2x^96+6x^97+1x^100+1x^106+1x^110

The gray image is a linear code over GF(2) with n=744, k=7 and d=368.
This code was found by Heurico 1.16 in 0.593 seconds.