The generator matrix

 1  0  1  1  1  0  1  1 X^2+X  1  1  X  0  1  1  1  1 X^2+X  1  1  1 X^2  0 X^2+X  1 X^2 X^2 X^2+X  1  1  X  X
 0  1  1  0 X+1  1  X X^2+X+1  1 X^2+X X^2+1  1  1  0 X+1 X^2+X+1 X^2+X  1 X^2+1 X^2  1  1  1  1 X^2+X+1  X  1  1 X^2+1 X^2  1 X^2
 0  0  X X^2+X  0 X^2+X  X X^2+X  0  0  0  X X^2 X^2  0 X^2+X X^2 X^2  0  X X^2+X  X  0  0  X  X X^2+X X^2  0 X^2+X X^2+X  X
 0  0  0 X^2  0  0  0  0  0  0 X^2  0  0 X^2 X^2  0 X^2  0 X^2  0 X^2  0 X^2  0 X^2 X^2  0  0  0  0 X^2 X^2
 0  0  0  0 X^2  0  0  0  0  0 X^2 X^2  0  0  0 X^2 X^2 X^2 X^2  0  0 X^2 X^2 X^2  0 X^2  0 X^2 X^2  0  0 X^2
 0  0  0  0  0 X^2  0  0  0  0  0  0  0  0 X^2 X^2 X^2 X^2  0  0  0 X^2  0  0 X^2 X^2 X^2  0 X^2 X^2  0 X^2
 0  0  0  0  0  0 X^2  0  0  0 X^2 X^2  0 X^2  0 X^2  0 X^2 X^2 X^2 X^2  0  0 X^2  0 X^2 X^2 X^2  0  0 X^2  0
 0  0  0  0  0  0  0 X^2  0 X^2  0 X^2 X^2  0 X^2  0  0  0 X^2  0 X^2 X^2 X^2  0 X^2 X^2  0  0 X^2 X^2  0 X^2
 0  0  0  0  0  0  0  0 X^2  0  0  0 X^2  0  0  0  0  0 X^2 X^2 X^2  0 X^2 X^2  0 X^2 X^2  0 X^2 X^2 X^2  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+146x^24+16x^25+418x^26+176x^27+1359x^28+656x^29+2496x^30+1200x^31+3407x^32+1200x^33+2596x^34+656x^35+1339x^36+176x^37+368x^38+16x^39+126x^40+10x^42+21x^44+1x^52

The gray image is a linear code over GF(2) with n=128, k=14 and d=48.
This code was found by Heurico 1.16 in 5.17 seconds.