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

generates a code of length 61 over Z2[X]/(X^2) who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+15x^58+16x^60+64x^61+16x^62+15x^64+1x^122

The gray image is a linear code over GF(2) with n=122, k=7 and d=58.
This code was found by Heurico 1.16 in 0.054 seconds.