The generator matrix

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

generates a code of length 75 over Z2[X]/(X^3) who´s minimum homogenous weight is 71.

Homogenous weight enumerator: w(x)=1x^0+108x^71+173x^72+168x^73+136x^74+80x^75+70x^76+60x^77+64x^78+28x^79+25x^80+28x^81+36x^82+28x^83+2x^84+12x^87+1x^88+4x^90

The gray image is a linear code over GF(2) with n=300, k=10 and d=142.
This code was found by Heurico 1.11 in 0.188 seconds.