The generator matrix 1 0 1 1 1 0 1 1 0 1 1 1 1 1 1 0 X 1 1 0 X X X 0 1 1 0 1 1 0 X+1 1 1 0 X X+1 0 X 1 1 X+1 X+1 1 1 0 0 0 0 X 0 0 0 0 0 0 X X X 0 0 X X X 0 X 0 X 0 X 0 0 0 X 0 0 0 X 0 X X 0 0 X 0 X X X 0 X 0 0 0 0 0 0 0 X 0 0 0 X X 0 0 X X X 0 0 X X 0 X 0 X 0 0 0 0 0 X 0 X X X 0 0 0 0 0 0 X 0 X X 0 X X 0 0 0 0 0 0 X X 0 X 0 X X 0 0 X X 0 0 0 X X 0 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+58x^18+113x^20+91x^22+93x^24+95x^26+43x^28+9x^30+6x^32+3x^34 The gray image is a linear code over GF(2) with n=46, k=9 and d=18. This code was found by Heurico 1.16 in 1.23 seconds.