The generator matrix

1 0 0 0 0 0 0 1 1 1 X 1 1 0 1 1 0 X X 1 X 0 0 1 1 0 1 0 1 X 0 1 X 1 X 1 0 0 0 1 1 1 1 1 1 0 0 X X 1 X 1 X 1
0 1 0 0 0 0 0 0 0 0 0 0 0 0 X X X X 0 0 0 0 X X X 0 X 0 1 1 1 X+1 1 X+1 1 X+1 1 1 1 1 1 X+1 1 X+1 X 1 1 1 1 X 0 0 1 0
0 0 1 0 0 0 0 0 0 0 0 0 0 X 0 0 X 1 1 1 1 1 1 1 1 1 X X 1 X+1 X X 0 1 X+1 1 1 X X 0 X X+1 0 0 1 X 0 X 0 1 1 X+1 1 0
0 0 0 1 0 0 0 0 0 X X 1 1 1 1 X+1 1 X X X X+1 X+1 X+1 0 X+1 1 0 1 0 1 1 X+1 0 0 X+1 X X+1 X+1 0 X 0 1 0 X+1 1 X+1 X 1 X+1 X+1 X 1 1 0
0 0 0 0 1 0 0 1 X 1 1 0 X+1 1 0 1 0 X 0 0 0 1 1 X+1 0 0 X X+1 X 0 X 1 X+1 X+1 X+1 X+1 0 X X X 0 X+1 X+1 0 X 0 X+1 X+1 X 1 X X X+1 X+1
0 0 0 0 0 1 0 1 X+1 0 1 X X+1 1 1 0 1 X X+1 1 X X+1 X 1 0 X+1 X 0 0 X+1 1 1 X 0 1 X+1 1 X+1 1 X+1 1 X+1 0 X X+1 X 1 1 X+1 X+1 X+1 X 0 0
0 0 0 0 0 0 1 X 1 1 X+1 1 X+1 0 0 X X+1 1 X+1 X 1 1 0 X+1 0 X 1 1 X+1 1 1 X+1 0 X 1 1 X X X 1 0 1 0 0 X+1 X+1 0 0 X+1 1 X 1 X+1 X

generates a code of length 54 over Z2[X]/(X^2) who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+76x^42+154x^43+242x^44+346x^45+472x^46+606x^47+739x^48+810x^49+878x^50+1014x^51+1096x^52+1154x^53+1128x^54+1160x^55+1105x^56+1098x^57+1044x^58+834x^59+667x^60+532x^61+428x^62+282x^63+208x^64+138x^65+66x^66+46x^67+34x^68+14x^69+4x^70+3x^72+2x^73+1x^76+2x^77

The gray image is a linear code over GF(2) with n=108, k=14 and d=42.
This code was found by Heurico 1.10 in 8.97 seconds.