The generator matrix

 1  0  1  1  1 X^2+X  1  1 X^2  1  1 X^2+X X^2  1  1  1  1  1  1 X^2+X  1  X  1 X^2+X X^2  1  1 X^2+X  1
 0  1  1  0 X^2+X+1  1  X X^2+X+1  1  0 X+1  1  1 X^2+X+1  X  1 X^2  0 X+1  1 X^2  1 X+1  1  1 X^2  X  1 X+1
 0  0  X  0 X^2+X X^2  0  0 X^2+X X^2+X  X X^2+X X^2 X^2 X^2  X X^2+X X^2+X  0  X X^2 X^2  X  X X^2 X^2  0 X^2  X
 0  0  0  X  0 X^2 X^2+X  X X^2 X^2+X  X  X X^2+X X^2 X^2+X X^2+X X^2  X X^2 X^2 X^2+X  X X^2 X^2  X  0 X^2+X  0  X
 0  0  0  0 X^2 X^2 X^2 X^2  0 X^2  0 X^2  0  0 X^2 X^2 X^2  0 X^2 X^2  0  0  0  0 X^2 X^2  0 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+41x^24+156x^25+144x^26+310x^27+205x^28+372x^29+211x^30+296x^31+121x^32+124x^33+22x^34+14x^35+13x^36+4x^37+7x^38+4x^39+3x^40

The gray image is a linear code over GF(2) with n=116, k=11 and d=48.
This code was found by Heurico 1.16 in 0.0822 seconds.