The generator matrix

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

generates a code of length 71 over Z2[X]/(X^2) who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+73x^58+144x^59+259x^60+420x^61+507x^62+554x^63+603x^64+708x^65+733x^66+888x^67+936x^68+916x^69+982x^70+924x^71+970x^72+956x^73+963x^74+908x^75+795x^76+704x^77+583x^78+526x^79+425x^80+336x^81+223x^82+140x^83+106x^84+56x^85+32x^86+12x^87+1x^128

The gray image is a linear code over GF(2) with n=142, k=14 and d=58.
This code was found by Heurico 1.10 in 12.9 seconds.