The generator matrix

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

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+56x^42+186x^43+241x^44+370x^45+492x^46+576x^47+724x^48+758x^49+868x^50+984x^51+1099x^52+1182x^53+1171x^54+1224x^55+1136x^56+1062x^57+1007x^58+852x^59+660x^60+482x^61+417x^62+294x^63+214x^64+154x^65+81x^66+42x^67+20x^68+22x^69+4x^70+2x^71+2x^73+1x^88

The gray image is a linear code over GF(2) with n=108, k=14 and d=42.
This code was found by Heurico 1.16 in 56.3 seconds.