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 6 1 1 1 3 1 1 1 1 1 1 1 1 1 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 2X 6 2X+3 2X 2X+3 X X+6 2X+6 2X+3 X+6 X+6 X 0 0 0 6 2X+3 X+3 6 2X+6 2X+6 2X 6 0 0 2X+3 0 6 X 2X 2X+6 2X 3 X 3 X+3 2X X 0 3 X+3 2X+3 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+3 X 6 X+3 2X+3 X+3 2X 3 2X 6 2X+3 3 2X 2X+3 3 6 2X+6 X+3 X+6 0 X 2X 2X+6 3 X 3 X+3 2X X+3 2X+3 3 X 6 0 X+6 X+3 2X+3 X+6 X 2X 2X+3 X 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 6 3 6 3 6 0 3 3 6 3 0 0 0 6 3 6 3 3 6 0 0 0 0 0 6 6 0 3 0 6 0 0 0 3 3 0 3 3 3 0 0 3 generates a code of length 74 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 141. Homogenous weight enumerator: w(x)=1x^0+340x^141+792x^144+972x^146+1080x^147+1944x^149+892x^150+198x^153+96x^156+136x^159+78x^162+30x^165+2x^216 The gray image is a code over GF(3) with n=666, k=8 and d=423. This code was found by Heurico 1.16 in 0.45 seconds.