The generator matrix

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

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+184x^70+176x^71+322x^72+176x^73+266x^74+152x^75+157x^76+120x^77+120x^78+76x^79+87x^80+36x^81+68x^82+20x^83+43x^84+4x^85+12x^86+8x^87+13x^88+6x^90+1x^96

The gray image is a linear code over GF(2) with n=300, k=11 and d=140.
This code was found by Heurico 1.16 in 0.431 seconds.