The generator matrix

 1  0  0  0  1  1  1  0  0 X^2 X^2  1  1  1  1  X X^2+X  1  X  1 X^2 X^2+X  1  1  1  1  0  X  1  1  1  1 X^2+X  1 X^2  0  X  1  1  X  1  1 X^2+X X^2  0  1  1  1  1  1  1  1  X X^2+X  1  0 X^2+X  1  1  1  1  1  1  1  0  1  1  X  X X^2  1  1  1  X  X
 0  1  0  0  0  1  1  1 X^2  1  1  0  1  1  0 X^2 X^2 X^2 X^2 X^2+1  1  1  X X^2+1 X+1 X^2  1  1 X+1  1 X^2+X X^2+X X^2+X X+1  1  1  1 X^2+1  X  0  X X+1  1 X^2+X  1  X  1  1 X^2  X X^2 X^2  1  1 X^2+X  1  0 X+1 X^2 X^2+X X^2  0  X  X  1  0 X^2+1  1  X  1 X+1  X X^2 X^2+X  1
 0  0  1  0  1 X^2 X^2+1  1  1  0  1 X^2  1  0 X+1  1  1 X+1  0 X^2+X+1 X^2  1 X^2+X  0 X^2+1  X X^2+1  X X+1 X+1 X^2+1 X+1  1 X^2+X X^2+X+1 X^2+X X^2+X+1  X  0  X  1 X^2 X+1  1  X X+1  1  0 X^2+X X^2+1 X^2 X+1 X+1  0 X^2+X X^2+X+1  1 X^2+X+1 X^2+X X^2+X  1 X^2+X+1 X^2+1 X+1 X+1 X^2+1 X^2+X X^2+X+1  1 X^2+1  1 X^2  0  X  X
 0  0  0  1 X^2  0 X^2 X^2  1  1 X^2+1  1  1 X^2+1 X+1  0 X^2+1 X^2  1 X^2+X  X X^2+X X^2+X X+1 X+1 X+1 X^2+X+1 X+1 X^2+X  1  1  X X^2+X+1  0  0  1 X^2+X+1 X^2+1  0  1 X^2 X^2+1 X^2+X X^2+X+1 X^2 X+1 X+1 X^2+X  1 X^2+X+1 X^2+X  X  0 X^2 X^2  X X+1 X^2 X^2+1 X+1 X^2+X+1 X+1 X+1 X^2+1  1 X^2+1  X X^2+1  X X+1  0  1  X  1 X^2

generates a code of length 75 over Z2[X]/(X^3) who´s minimum homogenous weight is 69.

Homogenous weight enumerator: w(x)=1x^0+218x^69+274x^70+388x^71+401x^72+536x^73+345x^74+344x^75+240x^76+330x^77+190x^78+152x^79+191x^80+172x^81+93x^82+68x^83+29x^84+56x^85+26x^86+20x^87+1x^88+16x^89+4x^91+1x^92

The gray image is a linear code over GF(2) with n=300, k=12 and d=138.
This code was found by Heurico 1.11 in 0.391 seconds.