The generator matrix

 1  0  0  0  0  0  1  1  1  0  1  1  X  1  0  1  1  1  1  0  X  0  1  1  1  X  X  1  0  0  X  1  1  X  1  1  1  1  0  X  0  0  1  X  X  1  1  X  1  1  1  1  0  1
 0  1  0  0  0  0  0  0  0  0  0  0  0  0  X  1  1  1  1  1  1  X X+1  1  X  1  1  X  1  1  1  X  0  X  0  X  1 X+1  1  0  X  0  1  1  1 X+1 X+1  0  0  1  1  X  0  X
 0  0  1  0  0  0  0  0  0  0  1  1  1 X+1  1 X+1  X X+1  0  1  1  1  X  0 X+1 X+1  1 X+1 X+1  X  0  1  1  X X+1  1  1  X  0  X  1  1  0  1  X  1  0  1 X+1  X X+1  X  0  0
 0  0  0  1  0  0  0  1  1  1  X  1 X+1 X+1 X+1  X  0  0 X+1 X+1  1  X  1  1  X  0  0  1  1  1  X X+1  1  1  X  X  1  0  0  1 X+1  0  0  0  0 X+1  1 X+1  1  1  0  X  1  0
 0  0  0  0  1  0  1  1  0 X+1  X  0  X X+1  1 X+1  X  0  X  1  X  1 X+1  1  1  0  1  0  X  1 X+1 X+1  0  1  0  X  X  0  X  1  X X+1 X+1  0  X  X  X X+1 X+1  0  X X+1  1  0
 0  0  0  0  0  1  1  0 X+1 X+1  1  X X+1 X+1  X  1 X+1  0  0 X+1  X  1  X X+1  X X+1  0  0  X  1  1  X X+1  X  X X+1  0  1  1  0  X  X X+1  0 X+1  X X+1  X X+1  X X+1 X+1  1  1
 0  0  0  0  0  0  X  0  X  X  X  0  X  X  0  X  X  0  0  X  0  X  0  X  0  X  0  0  0  0  0  X  0  X  X  0  X  0  0  X  X  X  0  X  0  0  X  X  0  X  0  X  X  0
 0  0  0  0  0  0  0  X  0  X  0  X  X  0  0  0  0  X  X  X  0  X  0  X  0  0  X  0  X  X  0  X  0  0  X  X  X  X  X  X  X  X  X  0  0  0  X  0  0  0  0  0  X  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+68x^42+134x^43+235x^44+414x^45+482x^46+602x^47+697x^48+800x^49+963x^50+944x^51+1043x^52+1150x^53+1171x^54+1164x^55+1186x^56+1050x^57+892x^58+932x^59+703x^60+548x^61+423x^62+272x^63+200x^64+126x^65+93x^66+46x^67+27x^68+8x^69+3x^70+2x^71+3x^72+1x^78+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 53.6 seconds.