The generator matrix

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

generates a code of length 32 over Z2[X]/(X^3) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+72x^24+320x^25+487x^26+1160x^27+1506x^28+2852x^29+3425x^30+4082x^31+4765x^32+4248x^33+3774x^34+2374x^35+1754x^36+1124x^37+486x^38+190x^39+90x^40+32x^41+19x^42+2x^43+4x^44+1x^46

The gray image is a linear code over GF(2) with n=128, k=15 and d=48.
This code was found by Heurico 1.16 in 14.6 seconds.