The generator matrix

 1  0  0  1  1  1  X  1  1  1  1 X^2 X^2  X X^2+X  X  1  1  1  1 X^2+X  0  1  1 X^2 X^2  1  X  1  0  1
 0  1  0  1 X^2+X X^2+X+1  1 X^2 X^2+X X^2+1 X^2+X+1  X  1  1  0  X X^2 X+1 X^2+X  X  1  1 X^2+1  X X^2+X  1  1  1  0  1  0
 0  0  1  1 X^2+X+1 X^2+X  1  X X^2+1 X+1 X^2  1  X X^2+X+1  1  1 X^2 X+1 X^2  1  0  0  0  0  1  1 X^2+1  X X^2+1 X^2  0
 0  0  0 X^2  0  0  0  0  0 X^2  0  0 X^2 X^2 X^2 X^2 X^2 X^2  0  0  0  0 X^2  0 X^2 X^2  0 X^2  0  0  0
 0  0  0  0 X^2  0  0  0 X^2 X^2 X^2  0 X^2 X^2  0 X^2 X^2  0  0 X^2 X^2  0  0  0 X^2  0 X^2  0  0  0  0
 0  0  0  0  0 X^2  0  0  0  0 X^2  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2 X^2  0  0  0  0
 0  0  0  0  0  0 X^2 X^2 X^2  0  0 X^2  0 X^2 X^2  0  0  0  0 X^2 X^2  0  0 X^2 X^2 X^2  0 X^2  0  0  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+56x^24+130x^25+292x^26+450x^27+714x^28+746x^29+1230x^30+932x^31+1261x^32+794x^33+734x^34+388x^35+254x^36+118x^37+42x^38+20x^39+18x^40+4x^41+6x^42+2x^43

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 1.03 seconds.