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 X 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 1 1 1 1 1 1 6 X 1 X 0 X 0 0 2X X+6 X 2X+6 2X 3 6 X+6 X+6 2X+6 2X 6 X+3 2X+6 X X+6 X 2X 3 2X+3 0 X+6 2X+6 X X 6 6 3 X+3 X+3 2X+3 2X+3 0 3 X+6 2X+3 2X+3 X 3 2X+3 2X+6 0 2X+6 3 2X+3 X+3 0 X+6 6 0 X+6 2X 2X+3 6 X 0 2X+6 3 2X+6 6 2X 2X+6 X+3 6 2X+6 2X+6 3 2X 2X+3 2X+3 0 3 X+3 6 2X+6 2X+3 X+3 2X+6 X 2X 6 2X 0 0 X 2X 3 2X+6 X X+6 2X+3 2X+6 0 2X+6 3 2X 3 X X X+3 2X 0 X+3 2X 2X+6 X+3 X+3 0 6 2X+6 X 0 2X+6 3 X+6 6 2X+3 X 2X+3 X+6 2X+3 6 X+3 X+3 6 6 2X+6 2X+3 X 3 3 X+6 X+3 6 X+3 0 2X+3 2X+3 2X+3 3 6 X X+6 X 3 2X+6 0 2X 2X+6 3 0 X 3 2X+6 2X+3 X+3 2X+6 X+6 X 2X+3 X+6 X+6 2X+3 6 X+6 6 2X 0 0 0 0 3 0 0 0 0 0 0 6 3 6 3 6 6 3 6 6 3 6 6 6 3 3 6 3 6 6 3 3 0 3 6 6 6 6 3 0 6 0 0 3 3 0 0 0 6 0 0 6 0 0 6 3 3 0 3 0 3 0 6 6 0 3 0 6 0 3 3 3 6 3 6 3 0 6 0 3 6 3 0 0 0 3 3 generates a code of length 86 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 165. Homogenous weight enumerator: w(x)=1x^0+432x^165+18x^166+54x^167+612x^168+108x^169+810x^170+876x^171+702x^172+1458x^173+706x^174+144x^175+108x^176+166x^177+136x^180+104x^183+68x^186+56x^189+2x^243 The gray image is a code over GF(3) with n=774, k=8 and d=495. This code was found by Heurico 1.16 in 3.57 seconds.