The generator matrix

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

generates a code of length 31 over Z2[X]/(X^3) who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+110x^28+64x^29+88x^30+95x^32+64x^33+64x^34+16x^36+8x^38+2x^44

The gray image is a linear code over GF(2) with n=124, k=9 and d=56.
This code was found by Heurico 1.16 in 0.0157 seconds.