The generator matrix

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

generates a code of length 56 over Z2[X]/(X^2) who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+47x^42+136x^43+222x^44+404x^45+506x^46+676x^47+905x^48+1086x^49+1398x^50+1494x^51+1663x^52+1976x^53+2240x^54+2358x^55+2304x^56+2356x^57+2235x^58+2096x^59+1992x^60+1674x^61+1303x^62+1076x^63+793x^64+546x^65+504x^66+314x^67+163x^68+120x^69+78x^70+34x^71+20x^72+28x^73+8x^74+8x^75+2x^77+1x^78+1x^80

The gray image is a linear code over GF(2) with n=112, k=15 and d=42.
This code was found by Heurico 1.11 in 43.2 seconds.