The generator matrix

 1  0  1  1  1 X^2+X  1  1 X^2  1  1 X^2  X  X  1  1  1  1  0  1  1 X^2+X  1  1  1  1  1  1  0  1  1  X X^2+X  0  1  X  1  1  1 X^2+X  1  1  0 X^2  0  1  1  1  1  1  X  1  1  1  1  1  1  1  1  1  1  1  1  1 X^2 X^2 X^2  X  0  0 X^2+X  X  X  X X^2+X X^2
 0  1  1 X^2+X X+1  1 X^2+1 X^2  1  X X^2+X+1  1  1  1  0  1 X^2+X X^2  1 X^2+X+1  X  1  1 X^2+X+1 X^2+X+1  1 X+1  0  1 X^2+1  X  1  1  1  0  1 X^2+X  0 X^2+X+1  1 X^2+X  1  1  X  1 X^2 X^2+X X+1 X^2+1  0 X^2  X X^2+X+1 X+1 X+1 X+1 X+1 X^2+1  1 X^2+1 X+1 X+1 X^2  X  1  1  1  1  X  0  1  0  X  1  1  X
 0  0  X  0 X^2  0 X^2  X  X  X  X X^2+X  0  X  0 X^2+X X^2+X X^2+X  0 X^2  0 X^2+X X^2 X^2+X  X  X  0 X^2+X X^2+X  0 X^2+X X^2+X X^2  X X^2 X^2 X^2  X  0  X  X  0 X^2 X^2 X^2 X^2 X^2 X^2+X X^2+X X^2 X^2 X^2 X^2+X X^2+X  X  X  0  0 X^2+X X^2+X X^2  0  X  X  0  X  0  X X^2+X  X X^2+X  X  0 X^2  X  X
 0  0  0 X^2 X^2 X^2  0 X^2 X^2  0 X^2  0  0  0 X^2  0 X^2  0 X^2 X^2  0 X^2  0 X^2  0 X^2  0  0  0 X^2 X^2 X^2 X^2 X^2  0  0 X^2 X^2  0  0  0 X^2 X^2 X^2  0 X^2  0  0 X^2 X^2 X^2  0  0 X^2 X^2  0 X^2  0 X^2  0  0  0  0 X^2 X^2  0  0 X^2 X^2  0  0  0 X^2 X^2  0  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+102x^73+62x^74+118x^75+25x^76+88x^77+22x^78+48x^79+3x^80+16x^81+5x^82+10x^83+2x^84+6x^86+1x^92+2x^97+1x^98

The gray image is a linear code over GF(2) with n=304, k=9 and d=146.
This code was found by Heurico 1.16 in 86.7 seconds.