The generator matrix

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

generates a code of length 33 over Z2[X]/(X^3) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+152x^24+4x^25+466x^26+32x^27+987x^28+304x^29+1792x^30+992x^31+2762x^32+1432x^33+2624x^34+992x^35+2015x^36+304x^37+892x^38+32x^39+443x^40+4x^41+110x^42+37x^44+4x^46+1x^48+1x^52+1x^56

The gray image is a linear code over GF(2) with n=132, k=14 and d=48.
This code was found by Heurico 1.16 in 7.24 seconds.