The generator matrix

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

generates a code of length 75 over Z2[X]/(X^3) who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+35x^70+80x^71+134x^72+164x^73+159x^74+132x^75+67x^76+16x^77+38x^78+64x^79+50x^80+44x^81+3x^82+12x^83+2x^84+9x^86+12x^90+1x^100+1x^112

The gray image is a linear code over GF(2) with n=300, k=10 and d=140.
This code was found by Heurico 1.16 in 0.327 seconds.