The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  X  1  1  1  1  1  1  1  1  1 X^2  1  1  X  1
 0  X  0  0  0  0  0  0  0  0  0  0  0 X^2 X^2 X^2 X^2 X^2  0  X  X  X X^2+X X^2+X X^2+X X^2+X X^2+X  X  X  0 X^2  X  0
 0  0  X  0  0  0  0  0  0  0  X X^2+X  X X^2+X X^2+X  X X^2+X  0  X  0 X^2 X^2+X X^2 X^2+X X^2+X  X X^2 X^2+X  0 X^2  X  X  0
 0  0  0  X  0  0  0  X X^2+X  X  X  X  0 X^2+X  X  0  0  X X^2  X X^2+X X^2+X  X X^2+X  X X^2+X  0 X^2 X^2+X X^2+X X^2  0 X^2+X
 0  0  0  0  X  0  X  X  X X^2  0  0 X^2 X^2+X  X X^2+X  X  X X^2 X^2+X X^2+X X^2  0 X^2  0 X^2+X X^2  X  0  X X^2 X^2  X
 0  0  0  0  0  X  X X^2 X^2+X X^2+X  0  X  X  X X^2  0  X  X  X  X X^2 X^2 X^2+X  X  X X^2+X  X X^2+X  0  0 X^2+X X^2  0
 0  0  0  0  0  0 X^2 X^2 X^2 X^2 X^2  0  0 X^2 X^2 X^2  0  0 X^2  0 X^2  0 X^2  0 X^2 X^2 X^2  0  0  0 X^2 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+91x^24+118x^25+247x^26+348x^27+405x^28+516x^29+856x^30+1598x^31+2489x^32+3022x^33+2504x^34+1598x^35+874x^36+578x^37+404x^38+282x^39+219x^40+116x^41+80x^42+14x^43+17x^44+2x^45+4x^46+1x^58

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 7.56 seconds.