The generator matrix

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

generates a code of length 75 over Z2[X]/(X^2) who´s minimum homogenous weight is 65.

Homogenous weight enumerator: w(x)=1x^0+78x^65+148x^66+180x^67+225x^68+234x^69+251x^70+246x^71+221x^72+256x^73+230x^74+238x^75+222x^76+184x^77+208x^78+174x^79+190x^80+154x^81+128x^82+122x^83+98x^84+78x^85+73x^86+52x^87+28x^88+40x^89+18x^90+12x^91+7x^92

The gray image is a linear code over GF(2) with n=150, k=12 and d=65.
This code was found by Heurico 1.16 in 20.8 seconds.