The generator matrix

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

generates a code of length 75 over Z2[X]/(X^3) who´s minimum homogenous weight is 63.

Homogenous weight enumerator: w(x)=1x^0+96x^63+468x^64+902x^65+1625x^66+2608x^67+3603x^68+4942x^69+6141x^70+7526x^71+9224x^72+10468x^73+11552x^74+12072x^75+11646x^76+10760x^77+9434x^78+8256x^79+6686x^80+4690x^81+3189x^82+2044x^83+1370x^84+810x^85+451x^86+266x^87+109x^88+68x^89+22x^90+28x^91+13x^92+2x^94

The gray image is a linear code over GF(2) with n=300, k=17 and d=126.
This code was found by Heurico 1.13 in 237 seconds.