The generator matrix

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

generates a code of length 75 over Z2[X]/(X^3) who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+66x^66+154x^67+247x^68+354x^69+485x^70+518x^71+636x^72+654x^73+657x^74+784x^75+664x^76+678x^77+584x^78+518x^79+424x^80+258x^81+204x^82+96x^83+54x^84+40x^85+45x^86+26x^87+15x^88+4x^90+12x^91+7x^92+1x^94+2x^95+1x^98+2x^99+1x^102

The gray image is a linear code over GF(2) with n=300, k=13 and d=132.
This code was found by Heurico 1.16 in 4.89 seconds.