The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X X 1 0 X 2X 0 X+3 2X X+3 2X+6 0 6 X+3 2X 0 X+6 2X+3 6 X+3 2X+6 6 X 6 2X+6 X 2X+6 3 X 2X 0 0 6 6 X+3 X+3 X X 2X 2X+6 2X 2X+6 6 X+6 2X+6 X+3 0 0 2X+3 6 X+6 X+6 X 6 2X 2X+3 2X+3 0 X+3 X+6 X 2X 2X+6 2X 2X+6 X+3 X+6 X 3 3 3 3 3 2X+3 2X+3 3 3 3 X+6 X+6 X+6 2X+3 2X+3 2X+3 0 X+3 2X 0 X+3 6 0 6 X+3 2X 2X 0 0 6 0 3 0 6 3 6 3 3 0 6 3 3 0 0 3 3 6 6 6 6 0 3 0 6 0 6 3 6 3 6 3 3 3 6 3 3 6 6 6 6 3 3 6 0 0 0 0 0 0 0 0 3 0 6 3 6 0 3 0 0 3 6 0 0 3 0 3 6 3 6 6 6 0 6 3 0 6 3 0 3 0 0 6 0 6 3 3 3 0 0 0 0 6 6 6 3 3 3 6 3 3 0 0 6 3 6 0 3 6 6 3 0 0 0 3 6 3 6 0 0 0 0 6 3 3 6 0 6 3 3 0 6 6 3 3 6 0 3 6 0 0 6 3 0 3 6 0 3 6 6 3 0 6 3 3 0 3 6 6 6 3 3 6 0 6 0 3 0 0 0 0 3 0 6 0 3 3 3 6 0 0 generates a code of length 92 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 180. Homogenous weight enumerator: w(x)=1x^0+180x^180+324x^182+180x^183+486x^184+648x^185+306x^186+60x^189+2x^270 The gray image is a code over GF(3) with n=828, k=7 and d=540. This code was found by Heurico 1.16 in 0.492 seconds.