The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1
0 X 0 0 0 0 X 0 X X 0 0 X X X X 0 0 0 0 0 X X
0 0 X 0 0 0 X X X 0 X X X X 0 0 0 0 0 X X X X
0 0 0 X 0 X 0 X 0 X X 0 X X X 0 0 0 X X 0 0 0
0 0 0 0 X X 0 0 X X X X X 0 0 X 0 X X 0 0 0 0
generates a code of length 23 over Z2[X]/(X^2) who´s minimum homogenous weight is 20.
Homogenous weight enumerator: w(x)=1x^0+11x^20+16x^22+31x^24+4x^28+1x^44
The gray image is a linear code over GF(2) with n=46, k=6 and d=20.
This code was found by Heurico 1.16 in 0.00201 seconds.