The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 1 1 1 X 0 1 1 1 1 X 1 1 1 1 X X 1 1 0 X 2X 0 X+3 2X 0 X+3 2X 6 X+3 2X X+6 2X+6 0 X+6 0 2X X+3 6 2X+6 3 3 X+3 X+3 2X+6 2X X 2X 2X+3 3 0 X+3 X+3 2X+6 3 2X+6 X+3 0 0 0 0 0 6 0 0 0 0 3 6 0 6 3 6 0 0 6 3 6 6 3 0 3 6 6 3 6 3 3 6 6 0 6 6 6 3 3 0 3 0 3 0 0 0 0 6 0 0 0 0 0 3 6 3 3 3 6 3 6 3 0 3 3 3 0 0 6 0 3 3 3 6 0 3 0 6 0 3 6 0 3 0 0 0 0 0 0 3 0 6 3 6 6 3 3 3 3 0 0 6 3 0 0 3 0 3 3 0 3 3 6 6 0 0 0 0 3 3 3 6 6 6 6 0 0 0 0 0 0 6 6 0 3 6 6 6 3 0 6 3 6 6 6 0 3 6 0 6 0 0 6 6 6 6 6 6 3 3 6 3 6 3 3 3 0 generates a code of length 41 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 69. Homogenous weight enumerator: w(x)=1x^0+34x^69+66x^70+66x^71+92x^72+144x^73+252x^74+102x^75+456x^76+384x^77+102x^78+1446x^79+3462x^80+86x^81+2766x^82+6564x^83+82x^84+1926x^85+576x^86+66x^87+378x^88+306x^89+52x^90+60x^91+42x^92+34x^93+48x^94+12x^95+26x^96+26x^99+16x^102+6x^105+4x^108 The gray image is a code over GF(3) with n=369, k=9 and d=207. This code was found by Heurico 1.16 in 1.29 seconds.