The generator matrix

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

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+78x^24+38x^25+130x^26+200x^27+389x^28+378x^29+576x^30+826x^31+849x^32+1174x^33+894x^34+890x^35+596x^36+398x^37+391x^38+126x^39+128x^40+60x^41+48x^42+6x^43+7x^44+8x^46+1x^54

The gray image is a linear code over GF(2) with n=132, k=13 and d=48.
This code was found by Heurico 1.16 in 1.95 seconds.