The generator matrix
1 0 1 1 1 0 1 1 0 1 1 0 X 1 1 1 1 0 1 1 0 1 0 1 1 1 1 1 0 1 1 X X
0 1 1 0 1 1 0 1 1 X X+1 1 1 0 X+1 0 X+1 1 X+1 0 1 0 1 X+1 0 X X+1 X+1 1 1 X 0 X
0 0 X 0 0 0 0 0 0 0 X 0 0 X X X X X X X X 0 X 0 0 X 0 0 0 X 0 X X
0 0 0 X 0 0 0 0 0 X 0 0 0 0 X X 0 X X X X X X X X X 0 X X X X 0 0
0 0 0 0 X 0 0 0 0 0 X X X X 0 0 X 0 X 0 X 0 0 X X 0 X X 0 X X 0 X
0 0 0 0 0 X 0 0 X 0 0 X 0 X 0 X X X X 0 0 X X X X 0 X 0 0 0 0 0 0
0 0 0 0 0 0 X 0 X X 0 0 X X 0 0 0 X 0 X 0 0 X 0 0 X 0 X X X 0 X 0
0 0 0 0 0 0 0 X X 0 X 0 X X X 0 X X 0 0 0 0 0 X 0 X X 0 0 0 X X X
generates a code of length 33 over Z2[X]/(X^2) who´s minimum homogenous weight is 26.
Homogenous weight enumerator: w(x)=1x^0+59x^26+111x^28+178x^30+181x^32+166x^34+168x^36+90x^38+42x^40+13x^42+9x^44+4x^46+2x^50
The gray image is a linear code over GF(2) with n=66, k=10 and d=26.
This code was found by Heurico 1.16 in 0.0995 seconds.