The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X X^2  1 X^2  X  0 X^2  1  0  1  X  1 X^2  X  0  1  X  1
 0  X  0  0  0  0  0  0  0  X X^2+X  X  X X^2+X  X X^2 X^2 X^2+X  X  0  0  X X^2+X X^2  X  X X^2+X  X X^2+X  X X^2+X  0  0
 0  0  X  0  0  0  X X^2+X  X  0  0  0  X  X X^2+X X^2  X  X X^2  X  X  X X^2  0 X^2 X^2+X X^2  X X^2+X X^2+X X^2+X  X  0
 0  0  0  X  0  X  X X^2+X  0  X  X X^2  0 X^2 X^2+X  X  0  X X^2  X X^2+X X^2+X X^2+X  X  X  0  0  X  X X^2+X X^2+X  X  0
 0  0  0  0  X  X  0 X^2+X  X X^2 X^2+X X^2+X  0 X^2+X  X X^2+X X^2+X  0  X X^2  X  X  0  0  X  X X^2  0  0  0 X^2+X X^2  0
 0  0  0  0  0 X^2  0  0  0  0  0  0 X^2  0  0 X^2 X^2  0 X^2 X^2 X^2 X^2  0 X^2 X^2  0  0 X^2  0 X^2 X^2 X^2  0
 0  0  0  0  0  0 X^2  0 X^2 X^2  0 X^2  0  0 X^2 X^2 X^2 X^2  0  0 X^2  0  0 X^2 X^2  0  0 X^2  0  0  0  0 X^2
 0  0  0  0  0  0  0 X^2 X^2  0 X^2 X^2 X^2 X^2  0  0 X^2 X^2 X^2  0  0  0  0 X^2 X^2  0 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+87x^24+176x^25+224x^26+398x^27+539x^28+916x^29+1246x^30+1556x^31+1981x^32+2016x^33+2048x^34+1648x^35+1250x^36+1000x^37+494x^38+332x^39+219x^40+112x^41+80x^42+34x^43+19x^44+4x^45+2x^46+2x^54

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 7.36 seconds.