The generator matrix 1 0 0 1 1 1 1 1 1 1 1 2X+6 3 1 1 1 1 1 X 1 X+6 1 1 1 6 2X 1 3 1 1 1 1 1 1 X+3 1 2X+6 1 1 2X+6 1 1 1 1 X 1 1 0 1 6 1 1 X 6 1 2X+6 X+3 1 1 1 2X+6 1 1 X+3 2X 0 1 1 1 1 1 1 0 1 0 0 3 2X+7 8 1 2X+4 2X+5 2 1 1 X+6 2X+1 X+1 2X+1 X+5 1 2X+6 1 5 X+6 8 1 3 X+4 1 2X X+6 2X+3 X+2 2X+8 7 1 2X+2 2X+3 X+7 0 1 2X X+1 4 2X+8 1 2X+5 2X+4 X+3 6 1 X+4 4 1 1 X+3 1 1 2 2X+6 4 0 4 2X+4 1 1 1 2X+3 2X+2 X+7 6 2X+1 0 0 0 1 2X+7 5 2X+5 8 1 0 7 2X+6 2X+7 5 2X X+2 3 2X+4 2X+6 X+3 7 X+5 X+5 2X+2 X+1 X+4 1 2X 2X+7 X+4 6 2X+5 1 X X+7 0 5 1 2X+2 X+2 7 6 8 3 2X+8 2X 2X+3 2X+1 1 7 X+8 X+8 2 8 2X+8 5 2X+5 4 X+8 5 2X 1 X+6 X+7 X+7 8 2X+2 X+2 1 X+5 X+2 7 0 0 0 0 6 6 6 6 6 6 6 6 0 0 6 3 3 0 0 6 3 3 0 0 0 6 3 0 3 0 3 3 3 3 3 3 3 6 6 0 0 0 0 6 6 6 0 3 3 0 0 6 3 0 3 6 6 6 3 3 3 6 3 3 0 6 6 0 0 3 3 0 3 generates a code of length 72 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 135. Homogenous weight enumerator: w(x)=1x^0+376x^135+402x^136+1470x^137+3086x^138+2928x^139+3972x^140+5260x^141+3720x^142+5634x^143+6174x^144+4230x^145+5184x^146+5528x^147+3114x^148+2736x^149+2538x^150+1008x^151+876x^152+510x^153+138x^154+24x^155+48x^156+6x^157+18x^158+20x^159+6x^160+6x^161+28x^162+2x^165+6x^167 The gray image is a code over GF(3) with n=648, k=10 and d=405. This code was found by Heurico 1.16 in 8.24 seconds.