The generator matrix 1 0 0 0 1 1 1 X 1 1 1 1 0 X 1 0 0 X 1 1 1 0 1 0 1 0 0 0 1 1 1 0 X 0 X+1 1 1 X X 1 1 1 0 X 0 0 0 0 1 0 1 0 X+1 1 1 X X+1 X+1 X+1 1 X 0 X 0 X+1 X+1 X+1 X 0 0 0 0 1 1 X+1 X 1 X 1 0 X X X+1 X 1 1 X+1 1 X+1 0 1 0 0 0 0 0 X X 0 0 0 0 X X X X X X X 0 X 0 0 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+31x^18+54x^19+57x^20+58x^21+47x^22+48x^23+47x^24+52x^25+31x^26+22x^27+23x^28+18x^29+17x^30+4x^31+2x^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 1.10 in 0 seconds.