The generator matrix

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

generates a code of length 93 over Z2[X]/(X^4) who´s minimum homogenous weight is 90.

Homogenous weight enumerator: w(x)=1x^0+400x^90+288x^91+276x^92+272x^93+328x^94+144x^95+182x^96+48x^97+48x^98+16x^99+19x^100+16x^102+8x^106+1x^128+1x^132

The gray image is a linear code over GF(2) with n=744, k=11 and d=360.
This code was found by Heurico 1.16 in 34.1 seconds.