The generator matrix

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

generates a code of length 75 over Z2[X]/(X^3) who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+63x^72+128x^73+88x^74+64x^75+48x^76+32x^77+40x^78+5x^80+32x^81+9x^88+2x^96

The gray image is a linear code over GF(2) with n=300, k=9 and d=144.
This code was found by Heurico 1.16 in 0.144 seconds.