The generator matrix

 1  0  0  1  1  1 X^2+X  1  1  0  X  1  1  X  X  X  1  1  1  1 X^2+X  1  1 X^2+X  1 X^2  1 X^2+X  1  1 X^2+X  0 X^2  1  1 X^2+X  1  1  1  X X^2+X X^2+X  1  0  0  0 X^2+X X^2  0  1  0  1  1 X^2+X  1  1 X^2  1  1  1  1  1  1 X^2+X  0  X  X  0  1  1 X^2+X X^2+X  1  1  1
 0  1  0  0  1 X+1  1 X^2+X X^2+1  1  X X^2+1 X^2+X  1  0  1 X+1 X^2 X^2+X+1 X^2+X  1 X+1  0  1  0  1 X+1  0 X^2  0  1  1  0  1 X^2+X+1  X X^2+X+1  X X^2+X  1  1  1 X^2+1  1  1  X  1 X^2+X  1 X^2+X+1  1 X^2+1 X+1  1 X+1 X^2+1  1  X  0 X^2 X^2+X+1 X^2+1 X^2+X X^2+X X^2+X  1  X X^2+X X+1 X^2+X+1  1  1 X+1  0 X^2
 0  0  1  1  1  0  1  1 X^2+1 X^2+1  1  0 X^2  X  1 X^2+X  1  X X^2+X  1 X+1  0  0 X^2 X^2+X+1 X^2+1 X^2+1  1 X^2+X+1  X X^2+X+1 X^2+X  1 X^2+X+1 X^2+X  1  X  X X+1 X^2+1  0  X  1 X^2+1  0  1  1  1 X^2+X X^2 X^2+X  0 X^2 X^2+X+1  X  0  X X^2 X+1  1  1 X^2 X^2+X+1  1  1  1  1  1 X+1 X^2+X+1 X^2+X X^2 X^2+X+1  0  X
 0  0  0  X  0  0 X^2 X^2 X^2+X  X  X  X  X X^2+X  0  0 X^2+X X^2  0 X^2  0  X  X  X  X  X X^2 X^2+X  0 X^2 X^2+X  0 X^2 X^2 X^2+X X^2+X X^2+X  X X^2+X X^2+X X^2+X X^2 X^2+X  0 X^2 X^2+X X^2  0  X X^2+X X^2 X^2+X  0  0  0  0 X^2+X  0 X^2 X^2+X  0 X^2 X^2+X X^2+X  X X^2+X  0 X^2 X^2  0  X  0 X^2+X  0  0
 0  0  0  0  X X^2  X X^2+X X^2 X^2 X^2+X X^2+X  X X^2+X  X X^2+X X^2+X  X X^2+X  0  0  0 X^2 X^2  X  X  0  0  0 X^2 X^2  0 X^2+X  X  0 X^2+X  X X^2 X^2  0 X^2+X X^2 X^2+X  X  0  X X^2+X  0  0  0 X^2+X  X X^2+X X^2  0 X^2+X  0 X^2  X  0 X^2  0 X^2+X  X X^2 X^2  X X^2 X^2+X  0  0 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 67.

Homogenous weight enumerator: w(x)=1x^0+94x^67+263x^68+440x^69+445x^70+686x^71+569x^72+828x^73+553x^74+762x^75+618x^76+698x^77+469x^78+488x^79+349x^80+370x^81+204x^82+158x^83+50x^84+40x^85+50x^86+34x^87+3x^88+6x^89+5x^90+2x^91+3x^92+2x^93+2x^94

The gray image is a linear code over GF(2) with n=300, k=13 and d=134.
This code was found by Heurico 1.16 in 3.87 seconds.