The generator matrix

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

generates a code of length 75 over Z2[X]/(X^3) who´s minimum homogenous weight is 73.

Homogenous weight enumerator: w(x)=1x^0+54x^73+80x^74+20x^75+30x^76+40x^77+14x^78+4x^79+1x^80+8x^81+2x^82+2x^89

The gray image is a linear code over GF(2) with n=300, k=8 and d=146.
This code was found by Heurico 1.16 in 0.204 seconds.