The generator matrix

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

generates a code of length 29 over Z2[X]/(X^3) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+112x^24+310x^25+413x^26+466x^27+531x^28+524x^29+484x^30+486x^31+361x^32+198x^33+125x^34+54x^35+15x^36+8x^37+2x^38+2x^39+4x^40

The gray image is a linear code over GF(2) with n=116, k=12 and d=48.
This code was found by Heurico 1.16 in 0.255 seconds.