The generator matrix
1 0 1 1 1 X^2 1 1 0 1 1 0 X 1 1 1 1 0 1 1 1 1 X^2 X^2 X 0 X^2+X 0 X^2+X X X X^2 X^2+X
0 1 1 0 X+1 1 1 0 1 X^2 X+1 1 1 X^2+1 X^2+X X X+1 1 X X 1 X^2+X+1 1 1 1 0 1 1 1 1 1 X 1
0 0 X 0 0 X^2 0 X^2+X X^2+X X^2+X X^2+X X^2+X X^2 X^2 0 X^2 0 X^2 X^2+X X X^2+X X^2+X X X^2+X 0 X X^2 X^2 0 X X^2+X 0 X^2+X
0 0 0 X X^2 X X^2+X X^2+X X^2+X X^2 X X^2 X^2+X X^2 0 X X^2+X 0 X^2 X^2+X X 0 X^2 X^2+X X 0 X X 0 0 0 X X^2
generates a code of length 33 over Z2[X]/(X^3) who´s minimum homogenous weight is 29.
Homogenous weight enumerator: w(x)=1x^0+48x^29+160x^30+172x^31+111x^32+100x^33+126x^34+136x^35+72x^36+40x^37+26x^38+12x^39+8x^40+4x^41+2x^42+6x^46
The gray image is a linear code over GF(2) with n=132, k=10 and d=58.
This code was found by Heurico 1.16 in 0.033 seconds.