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

generates a code of length 91 over Z2[X]/(X^4) who´s minimum homogenous weight is 92.

Homogenous weight enumerator: w(x)=1x^0+56x^92+4x^94+1x^96+2x^100

The gray image is a linear code over GF(2) with n=728, k=6 and d=368.
This code was found by Heurico 1.16 in 0.64 seconds.