The generator matrix

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

generates a code of length 76 over Z2[X]/(X^2) who´s minimum homogenous weight is 63.

Homogenous weight enumerator: w(x)=1x^0+100x^63+210x^64+304x^65+394x^66+486x^67+561x^68+660x^69+726x^70+762x^71+836x^72+830x^73+896x^74+956x^75+946x^76+942x^77+945x^78+922x^79+837x^80+760x^81+720x^82+604x^83+535x^84+450x^85+334x^86+236x^87+151x^88+128x^89+70x^90+26x^91+14x^92+20x^93+11x^94+4x^95+4x^96+2x^97+1x^120

The gray image is a linear code over GF(2) with n=152, k=14 and d=63.
This code was found by Heurico 1.10 in 14.1 seconds.