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 1
0 X 0 0 0 X X X 0 0 0 X 0 X X X 0 0 0 X 0 X X
0 0 X 0 X X X 0 0 0 X X X X 0 0 0 0 X X X X 0
0 0 0 X X 0 X X 0 X X 0 0 X X 0 0 X X 0 0 X X
generates a code of length 23 over Z2[X]/(X^2) who´s minimum homogenous weight is 22.
Homogenous weight enumerator: w(x)=1x^0+7x^22+16x^23+7x^24+1x^46
The gray image is a linear code over GF(2) with n=46, k=5 and d=22.
This code was found by Heurico 1.16 in 0.00108 seconds.