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

generates a code of length 77 over Z2[X]/(X^2) who´s minimum homogenous weight is 67.

Homogenous weight enumerator: w(x)=1x^0+90x^67+139x^68+198x^69+231x^70+234x^71+265x^72+232x^73+244x^74+220x^75+214x^76+212x^77+193x^78+206x^79+205x^80+192x^81+197x^82+150x^83+141x^84+130x^85+84x^86+94x^87+71x^88+48x^89+39x^90+28x^91+14x^92+12x^93+4x^94+2x^95+6x^96

The gray image is a linear code over GF(2) with n=154, k=12 and d=67.
This code was found by Heurico 1.16 in 37.9 seconds.