The generator matrix 1 0 1 1 1 1 1 X+3 1 2X 1 1 1 1 0 1 1 X+3 1 1 2X 1 1 1 0 1 X+3 1 1 1 1 1 1 1 1 1 0 1 1 1 1 2X 1 1 1 1 1 0 1 2X+4 8 X+3 X+1 X+2 1 4 1 2X 2X+8 8 0 1 2X+4 X+1 1 X+2 X+3 1 2X+8 2X 4 1 0 1 X+2 2X 8 8 4 X+3 X+1 2X+4 X+2 1 X+3 2X+8 X+3 2X+8 1 0 2X+4 0 4 0 0 0 3 0 0 0 3 3 6 3 3 0 6 0 6 6 3 6 3 0 3 0 6 0 3 6 0 6 3 0 3 0 3 3 3 0 6 0 0 0 0 6 6 6 3 6 0 0 0 0 6 0 0 3 3 0 6 0 6 0 6 3 3 0 3 3 3 0 6 3 0 6 6 3 0 3 0 6 3 0 6 0 3 3 3 0 3 0 6 0 3 6 6 0 0 0 0 0 3 0 6 3 3 3 3 3 6 3 0 0 0 3 6 0 3 0 3 6 0 3 3 0 0 6 3 3 6 0 6 6 3 6 6 6 0 0 0 0 6 0 0 0 0 0 0 0 6 0 3 3 6 0 6 6 0 0 6 6 0 6 6 6 3 6 0 6 0 3 6 3 6 3 6 0 3 6 0 3 3 3 6 0 3 6 0 0 0 0 generates a code of length 47 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 81. Homogenous weight enumerator: w(x)=1x^0+64x^81+30x^82+18x^83+288x^84+228x^85+426x^86+542x^87+1308x^88+2826x^89+1300x^90+5028x^91+8028x^92+2058x^93+9258x^94+10776x^95+2160x^96+6576x^97+5490x^98+1156x^99+828x^100+108x^101+268x^102+72x^103+30x^104+92x^105+34x^108+28x^111+12x^114+8x^117+4x^120+2x^123+2x^126 The gray image is a code over GF(3) with n=423, k=10 and d=243. This code was found by Heurico 1.16 in 6.93 seconds.