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

generates a code of length 62 over Z2[X]/(X^2) who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+120x^56+120x^60+213x^64+8x^68+48x^72+1x^80+1x^112

The gray image is a linear code over GF(2) with n=124, k=9 and d=56.
This code was found by Heurico 1.16 in 0.208 seconds.