The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  X  X  1  1  1  X  0  X  X  X  0  X  X  0  X  X  0  X  0
 0  X  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  X  X  X  X  X  X  X  X  X  X  X  X  X  X  X  0  0  0  0  0  0  X  X  0  0  0  0  X  X  X  X  0  0  X  X  X  X  X  0  X
 0  0  X  0  0  0  0  0  0  0  X  X  X  X  X  X  X  X  X  0  X  X  0  0  X  X  X  X  0  0  0  0  0  0  0  0  0  X  X  0  0  0  0  X  0  X  X  0  X  X  0  X  X  0  X  X  0
 0  0  0  X  0  0  0  X  X  X  X  X  0  X  X  0  0  0  0  0  0  0  0  0  X  X  X  X  X  X  X  X  0  0  0  0  X  X  0  X  X  X  X  X  X  X  X  X  X  0  0  X  0  0  X  0  X
 0  0  0  0  X  0  X  X  X  0  0  0  0  X  X  X  X  0  0  0  X  X  X  X  X  X  0  0  0  0  X  X  0  0  X  X  X  0  0  0  X  0  0  X  X  X  X  X  X  X  X  X  X  X  0  0  0
 0  0  0  0  0  X  X  0  X  X  0  X  X  X  0  0  X  0  X  X  X  0  0  X  0  X  X  0  0  X  X  0  0  X  X  0  0  0  0  X  X  X  0  X  0  0  X  X  0  0  X  0  X  0  0  0  X

generates a code of length 57 over Z2[X]/(X^2) who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+42x^54+51x^56+20x^62+10x^64+2x^70+1x^72+1x^80

The gray image is a linear code over GF(2) with n=114, k=7 and d=54.
This code was found by Heurico 1.16 in 28.9 seconds.