The generator matrix

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

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+130x^73+23x^74+16x^75+24x^76+8x^77+8x^78+7x^80+36x^81+2x^89+1x^90

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 39.5 seconds.