The generator matrix

 1  0  1  1  1 X^2+X  1  1 X^3+X^2  1  1 X^3+X  1  1 X^3  1  1 X^3+X^2+X  1  1 X^2  1  1  X  1  1  0  1  1 X^2+X  1  1 X^3+X^2  1  1 X^3+X  1  1 X^3  1  1 X^3+X^2+X  1  1 X^2  1  1  X  X  X  0  1  X  X X^3+X^2  1 X^3+X^2  1  1 X^2  X  X  X  X X^3 X^2+X  1  1  0  1  1 X^3+X  1  1  1  1  1  1  1  1 X^3 X^2 X^3+X^2+X  X  1  1  1  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 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  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  0 X^2+X  X X^3+X^2 X^3+X^2 X^3+X  X X^3+X^2+X+1  1 X^3+X X^3+1  X X^3 X^3+X^2+X X^2  X  X  1  0 X+1  1 X^2+X X^2+1  1 X^3 X^3+X+1 X^2 X^2+X+1 X^3+X^2+X  X X^3+X^2+1  1  1  1  1  1  0 X^3+X^2 X^3 X^2 X^2+X X^3+X X^3+X^2+X  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+12x^92+216x^93+12x^94+3x^96+8x^97+2x^98+2x^114

The gray image is a linear code over GF(2) with n=744, k=8 and d=368.
This code was found by Heurico 1.16 in 0.359 seconds.