The generator matrix

 1  0  0  0  0  1  1  1  0  1  1  0  0  X  1  1  1  0  X  1  1  X  X  0  1  1  X  1  0  0  1  1  0  0  1  X  X  X  1  0  X  1  1  1  1  X  0  X  1  1  1  0  1  1
 0  1  0  0  0  0  0  0  0  1  1  1  1  1  1  X X+1  0  1  X  0  1  1  X X+1  1  1  1  1  1 X+1  1  1  X X+1  0  1  1  X  1  1  0  X  1  0  1  1  0 X+1  X  0  1  0  0
 0  0  1  0  0  0  1  1  1  1  X  1  0 X+1 X+1 X+1  X  1  1  X  0 X+1  X  0 X+1  X  X  0  X X+1  1  X  X  0  0  1  0 X+1  1  X X+1  0 X+1 X+1 X+1  0  0  X  X  X  1 X+1  X  1
 0  0  0  1  0  1  1  0  1  0 X+1 X+1  1  X X+1 X+1  0  0  0  X  1 X+1  1  1  X  1 X+1  X X+1 X+1 X+1  X  0  1  1  X  X X+1  0  1  0  X  1  0  1  0  X  1  0  X  0 X+1  X  1
 0  0  0  0  1  1  0  1  1  X  0  X  1 X+1 X+1  1  X X+1  X  1  X X+1  0  1  1 X+1  0  0  1 X+1  X  1 X+1 X+1  1 X+1  X X+1  X  1  1  1  1  X  1  X X+1  X X+1  0  X  X  1  0
 0  0  0  0  0  X  0  0  0  X  0  X  X  0  X  X  X  X  X  X  0  0  X  X  X  X  X  0  0  X  0  X  0  0  0  0  0  0  X  0  X  X  0  0  X  X  X  0  X  0  0  X  0  X
 0  0  0  0  0  0  X  0  0  0  0  0  0  0  X  0  0  0  X  X  X  X  X  X  0  X  0  X  X  X  X  X  0  0  0  X  0  X  X  X  X  X  X  X  0  0  0  0  0  0  X  X  X  X
 0  0  0  0  0  0  0  X  0  0  X  X  X  0  X  0  0  X  0  X  0  X  X  X  X  0  0  X  0  0  0  X  X  X  X  0  X  0  X  0  0  X  X  X  X  X  X  X  0  0  X  X  0  X
 0  0  0  0  0  0  0  0  X  X  X  0  X  X  X  X  0  0  0  0  X  X  0  0  0  X  0  0  X  0  X  X  0  0  0  X  0  X  0  0  X  X  0  X  X  0  0  X  X  X  0  0  0  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+56x^42+152x^43+263x^44+384x^45+505x^46+506x^47+739x^48+834x^49+874x^50+1080x^51+1018x^52+1136x^53+1182x^54+1136x^55+1172x^56+1064x^57+954x^58+900x^59+653x^60+548x^61+425x^62+278x^63+222x^64+118x^65+90x^66+44x^67+25x^68+12x^69+8x^70+2x^72+2x^74+1x^84

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 54.5 seconds.