The generator matrix 1 0 0 1 1 1 1 1 1 1 2X+3 1 X 1 1 2X+6 1 1 X+6 1 1 1 2X+3 1 1 0 1 1 1 1 1 X+6 0 1 1 3 1 2X+6 1 1 3 1 1 1 2X 0 3 1 1 X+3 1 1 1 2X 1 2X 1 3 1 1 1 1 X+6 1 1 1 3 1 1 0 1 0 0 6 2X+4 2X+4 X+8 1 X+2 1 2 1 6 2 1 X+2 1 1 2X+6 7 2X+1 2X+6 X+2 X 1 X+6 2X+8 X+7 0 2X+1 1 2X+3 2X+8 2X+4 1 2X+8 1 2X+2 2X X+6 X X+4 2X+4 1 X 1 5 X 1 7 8 2 1 2X+6 X+3 X+8 1 X+1 2X+7 0 X 1 2X+3 X+8 2X+7 1 X+6 X 0 0 1 1 2 2 2X+3 1 7 2X+3 2X+7 X+2 X+8 0 4 2X+3 2X+6 2 X+2 8 2X+4 6 1 8 X+1 X+4 X+7 X+5 X+6 X+2 X+4 6 1 2X+7 2X+2 4 6 2X+2 X+2 X+3 1 2X+4 X+4 2X+1 7 1 X+3 6 5 2X+7 X+5 1 X+8 8 X 1 6 X 2X+7 2X+5 4 X+3 X+4 7 7 X+2 2X+5 X+5 2X+6 0 0 0 2X 3 6 0 6 0 3 0 3 6 X 2X+3 2X 2X+6 2X+6 X+6 X+3 2X+3 2X X+6 2X+3 X 2X+6 3 X+6 X+3 2X+3 X+3 X 3 X+3 X+6 X 2X+6 2X+6 3 2X+6 2X+6 2X+6 0 X X+3 X+6 3 X+6 0 2X+6 X X+3 X+6 3 3 2X X+3 2X+3 X+6 0 3 6 0 X 2X+3 2X+6 2X+3 6 X generates a code of length 69 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 127. Homogenous weight enumerator: w(x)=1x^0+288x^127+486x^128+1604x^129+3252x^130+3954x^131+6942x^132+7764x^133+9660x^134+12034x^135+15126x^136+14406x^137+18946x^138+18558x^139+15738x^140+15290x^141+12150x^142+8094x^143+6190x^144+3552x^145+1428x^146+816x^147+354x^148+120x^149+70x^150+138x^151+48x^152+54x^153+42x^154+6x^155+18x^156+12x^157+6x^158 The gray image is a code over GF(3) with n=621, k=11 and d=381. This code was found by Heurico 1.16 in 66 seconds.