The generator matrix 1 0 0 0 1 1 1 0 1 1 1 X 1 1 1 1 1 1 X 1 0 0 X 0 1 0 0 0 1 1 1 X X+1 0 1 X+1 X+1 1 0 X 1 1 0 X 1 0 0 0 1 0 1 1 0 X+1 X+1 1 X 1 0 X 1 X+1 X+1 0 0 X 1 0 1 0 0 0 1 1 0 X+1 X+1 X X+1 1 X+1 0 X+1 1 X+1 X X X 1 0 X+1 X 0 0 0 0 X 0 X X 0 X 0 0 X 0 X 0 X 0 0 X X 0 0 0 0 0 0 0 X 0 X X 0 X 0 X 0 X X X 0 X X X X X generates a code of length 23 over Z2[X]/(X^2) who´s minimum homogenous weight is 18. Homogenous weight enumerator: w(x)=1x^0+125x^18+198x^20+207x^22+196x^24+155x^26+110x^28+25x^30+7x^32 The gray image is a linear code over GF(2) with n=46, k=10 and d=18. This code was found by Heurico 1.16 in 0.052 seconds.