The generator matrix

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

generates a code of length 31 over Z2[X]/(X^3) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+73x^24+138x^25+254x^26+414x^27+705x^28+922x^29+951x^30+1182x^31+1170x^32+878x^33+629x^34+426x^35+219x^36+110x^37+75x^38+26x^39+8x^40+9x^42+2x^46

The gray image is a linear code over GF(2) with n=124, k=13 and d=48.
This code was found by Heurico 1.16 in 1.47 seconds.