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 3 1 1 1 1 1 1 X X 1 0 X 2X 0 X+6 2X 3 2X+3 X+6 X+3 2X 0 6 X+6 2X 2X+3 3 3 X X+6 2X+3 2X 2X+3 X+6 2X+6 X 0 X 3 X X+6 X+6 X+3 X+6 X X X 2X 2X 2X+3 2X 2X+3 2X+3 2X+6 0 0 3 0 3 6 3 0 X+6 0 3 0 3 2X 2X+6 2X+3 2X+6 X+6 X X X+3 X+6 6 3 3 0 6 6 3 X+3 X+6 2X 2X+3 X 2X+6 X+6 X+6 0 0 0 3 0 0 0 0 6 6 3 3 3 6 3 0 3 6 3 0 3 0 3 6 3 6 6 3 6 6 0 6 6 0 3 6 3 0 0 0 6 6 6 3 6 0 0 3 3 3 0 0 3 6 6 3 6 6 3 6 0 3 6 0 3 0 3 6 6 3 6 0 0 0 0 3 3 6 3 3 6 6 6 0 0 0 3 0 3 6 6 3 6 0 3 3 3 0 3 6 0 3 3 6 6 3 0 0 6 6 0 0 6 6 3 3 0 0 6 6 0 3 3 3 0 3 0 0 3 6 6 0 0 3 0 3 0 3 6 3 0 6 6 3 0 3 3 6 3 0 3 3 6 6 6 0 0 0 6 6 0 6 6 0 0 0 0 0 0 6 6 0 3 3 0 3 3 6 3 6 0 6 3 6 0 6 0 3 0 3 3 3 3 6 6 6 6 0 3 6 3 0 3 3 6 0 6 3 0 3 6 6 0 6 6 3 0 0 3 0 0 0 6 0 3 6 0 3 3 3 6 0 3 6 3 3 6 0 3 6 6 6 0 3 6 0 6 generates a code of length 82 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 156. Homogenous weight enumerator: w(x)=1x^0+142x^156+84x^157+216x^158+290x^159+186x^160+864x^161+236x^162+864x^164+3084x^165+30x^166+86x^168+78x^169+102x^171+96x^174+48x^175+38x^177+60x^178+48x^180+6x^183+2x^237 The gray image is a code over GF(3) with n=738, k=8 and d=468. This code was found by Heurico 1.16 in 0.621 seconds.