The generator matrix

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

generates a code of length 74 over Z2[X]/(X^3) who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+134x^70+432x^72+158x^74+88x^76+58x^78+115x^80+26x^82+8x^86+2x^88+2x^96

The gray image is a linear code over GF(2) with n=296, k=10 and d=140.
This code was found by Heurico 1.16 in 0.281 seconds.