The generator matrix 1 0 1 1 1 1 1 X+6 1 1 1 2X 1 1 1 X+6 1 1 1 1 0 1 1 2X 1 1 1 X+3 1 1 1 2X 1 1 1 1 3 1 2X+3 1 1 1 1 1 2X 1 1 X+6 1 1 1 1 1 1 1 1 1 1 3 1 0 1 1 1 0 1 2X+7 8 X+6 X+1 X+5 1 2X 7 2X+8 1 X+6 X+1 8 1 0 2X X+5 2X+7 1 7 2X+8 1 3 2X+4 2 1 X+2 X+3 7 1 2X 2X+8 2X+3 2X+2 1 4 1 X+4 4 2X 2X+8 2X+3 1 7 2X+2 1 0 3 X+6 2X+3 0 6 X+6 3 X+3 2X+3 1 2X+7 X 8 X+1 X+5 0 0 6 0 6 3 3 3 0 6 6 0 3 0 3 6 3 6 0 3 3 0 6 6 6 0 6 0 6 0 0 3 3 0 3 3 6 6 6 6 3 6 0 0 3 3 3 0 0 3 3 0 3 6 6 6 0 3 0 6 0 0 0 6 0 0 0 3 3 0 3 6 6 3 6 3 0 6 6 0 3 6 0 6 3 3 0 6 6 3 0 3 6 6 6 3 3 3 0 3 6 0 0 3 0 3 0 0 6 6 6 0 6 6 3 3 0 0 6 3 0 6 6 6 6 6 0 3 generates a code of length 64 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 122. Homogenous weight enumerator: w(x)=1x^0+246x^122+234x^123+738x^124+546x^125+674x^126+606x^127+702x^128+660x^129+408x^130+546x^131+448x^132+468x^133+216x^134+42x^136+6x^139+12x^143+4x^147+2x^150+2x^165 The gray image is a code over GF(3) with n=576, k=8 and d=366. This code was found by Heurico 1.16 in 9.09 seconds.