The generator matrix

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

generates a code of length 33 over Z2[X]/(X^3) who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+331x^26+484x^27+1285x^28+1580x^29+2898x^30+2976x^31+4755x^32+4104x^33+4636x^34+3276x^35+2940x^36+1500x^37+1238x^38+360x^39+290x^40+48x^41+49x^42+8x^43+7x^44+2x^48

The gray image is a linear code over GF(2) with n=132, k=15 and d=52.
This code was found by Heurico 1.16 in 24.8 seconds.