The generator matrix

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

generates a code of length 62 over Z2[X]/(X^2) who´s minimum homogenous weight is 61.

Homogenous weight enumerator: w(x)=1x^0+56x^61+32x^62+31x^64+8x^69

The gray image is a linear code over GF(2) with n=124, k=7 and d=61.
This code was found by Heurico 1.10 in 0.265 seconds.