The generator matrix

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

generates a code of length 75 over Z2[X]/(X^2) who´s minimum homogenous weight is 63.

Homogenous weight enumerator: w(x)=1x^0+52x^63+120x^64+190x^65+291x^66+324x^67+340x^68+436x^69+401x^70+412x^71+497x^72+446x^73+460x^74+500x^75+446x^76+406x^77+438x^78+388x^79+356x^80+354x^81+317x^82+268x^83+223x^84+176x^85+111x^86+92x^87+55x^88+34x^89+28x^90+12x^91+6x^92+6x^93+2x^94+3x^96+1x^100

The gray image is a linear code over GF(2) with n=150, k=13 and d=63.
This code was found by an older version of Heurico in 0 seconds.