The generator matrix

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

generates a code of length 69 over Z2[X]/(X^2) who´s minimum homogenous weight is 59.

Homogenous weight enumerator: w(x)=1x^0+60x^59+131x^60+162x^61+225x^62+244x^63+241x^64+278x^65+230x^66+248x^67+231x^68+208x^69+229x^70+206x^71+243x^72+194x^73+172x^74+174x^75+138x^76+122x^77+113x^78+78x^79+59x^80+46x^81+18x^82+14x^83+12x^84+12x^85+5x^86+2x^89

The gray image is a linear code over GF(2) with n=138, k=12 and d=59.
This code was found by Heurico 1.10 in 0.875 seconds.