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

generates a code of length 90 over Z2[X]/(X^3) who´s minimum homogenous weight is 92.

Homogenous weight enumerator: w(x)=1x^0+19x^92+4x^93+3x^94+4x^95+1x^98

The gray image is a linear code over GF(2) with n=360, k=5 and d=184.
This code was found by Heurico 1.16 in 0.399 seconds.