The generator matrix

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

generates a code of length 69 over Z2[X]/(X^2) who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+41x^60+68x^61+93x^62+156x^63+149x^64+164x^65+160x^66+124x^67+119x^68+128x^69+110x^70+92x^71+98x^72+88x^73+78x^74+54x^75+67x^76+66x^77+53x^78+38x^79+28x^80+26x^81+14x^82+14x^83+9x^84+2x^85+4x^86+2x^87+2x^89

The gray image is a linear code over GF(2) with n=138, k=11 and d=60.
This code was found by Heurico 1.10 in 0.219 seconds.