The generator matrix 1 0 0 1 1 1 X 1 0 1 1 X 0 1 1 0 1 X 1 1 0 X 1 0 1 0 1 0 1 1 0 1 1 X 1 X 1 1 1 X 0 0 0 1 1 0 0 0 1 1 1 0 1 0 X+1 1 X+1 X+1 1 X+1 X X 1 1 0 1 X X+1 0 0 0 0 X 0 0 0 0 0 X 0 0 0 X X X X X X 0 0 X 0 0 0 0 0 X 0 0 X X X 0 X 0 0 X 0 X X 0 0 X X 0 0 0 0 0 0 X 0 X X 0 0 0 X X X X X 0 X X 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+32x^18+46x^19+60x^20+70x^21+44x^22+48x^23+39x^24+44x^25+40x^26+30x^27+23x^28+14x^29+12x^30+4x^31+4x^32+1x^36 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 0.0105 seconds.