The generator matrix
1 0 0 1 1 1 X 1 1 X 1 X 1 0 1 1 1 1 1 1 1 1 1
0 1 0 0 1 X+1 1 X X+1 1 0 0 1 1 X X X 0 0 1 X 1 0
0 0 1 1 X+1 0 X+1 1 X+1 X X 1 X 1 X+1 X+1 1 1 0 1 0 X+1 0
0 0 0 X X X 0 0 0 X X X 0 X X 0 X 0 X X 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+15x^20+32x^21+19x^22+16x^23+15x^24+8x^25+7x^26+1x^28+8x^29+5x^30+1x^34
The gray image is a linear code over GF(2) with n=46, k=7 and d=20.
This code was found by Heurico 1.16 in 0.00186 seconds.