The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 X X X X 1 X X 1 1
0 X 0 0 0 0 0 0 0 0 0 X 0 0 X X 0 0 0 0 X X 0 X X X X X 0 0 X 0 0
0 0 X 0 0 0 0 0 0 0 0 X X X X X 0 0 0 X X 0 X 0 0 0 X 0 X 0 X 0 0
0 0 0 X 0 0 0 0 0 0 X 0 X X 0 X X 0 X 0 X X X X X X 0 0 0 0 X 0 0
0 0 0 0 X 0 0 0 0 0 X 0 0 X X X X X 0 X 0 0 0 0 0 X 0 X X X 0 0 0
0 0 0 0 0 X 0 0 0 X 0 0 0 X X 0 X 0 X X X 0 0 X 0 X X X 0 0 0 0 0
0 0 0 0 0 0 X 0 0 X 0 0 X 0 0 X X X 0 X X 0 X X X 0 X 0 0 0 0 X X
0 0 0 0 0 0 0 X 0 X X X X 0 0 0 0 0 X X X X 0 0 X X X X 0 X 0 X X
0 0 0 0 0 0 0 0 X X X X 0 0 X X X 0 0 0 X 0 X 0 X 0 0 0 X X 0 X X
generates a code of length 33 over Z2[X]/(X^2) who´s minimum homogenous weight is 24.
Homogenous weight enumerator: w(x)=1x^0+63x^24+139x^28+80x^30+256x^32+160x^34+187x^36+16x^38+93x^40+25x^44+3x^48+1x^52
The gray image is a linear code over GF(2) with n=66, k=10 and d=24.
This code was found by Heurico 1.16 in 0.0853 seconds.