The generator matrix

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

generates a code of length 32 over Z2[X]/(X^3) who´s minimum homogenous weight is 23.

Homogenous weight enumerator: w(x)=1x^0+68x^23+496x^24+1116x^25+2417x^26+4060x^27+7199x^28+9544x^29+15016x^30+15774x^31+19136x^32+16012x^33+15369x^34+10002x^35+7275x^36+3680x^37+2215x^38+990x^39+451x^40+176x^41+50x^42+18x^43+2x^44+5x^46

The gray image is a linear code over GF(2) with n=128, k=17 and d=46.
This code was found by Heurico 1.13 in 74.2 seconds.