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

generates a code of length 76 over Z2[X]/(X^3) who´s minimum homogenous weight is 73.

Homogenous weight enumerator: w(x)=1x^0+58x^73+122x^74+80x^75+73x^76+38x^77+54x^78+28x^79+28x^80+12x^81+5x^82+8x^85+1x^86+1x^88+2x^90+1x^96

The gray image is a linear code over GF(2) with n=304, k=9 and d=146.
This code was found by Heurico 1.11 in 0.109 seconds.