The generator matrix 1 0 1 1 1 1 1 1 X+3 2X 1 1 1 1 0 1 1 X+3 1 1 1 1 1 1 X 2X 1 3 1 1 1 1 1 0 X+3 1 1 1 1 1 1 1 1 1 6 1 2X+3 1 1 1 1 1 6 1 1 X+6 2X+6 2X+6 1 6 1 1 1 1 1 1 1 1 0 1 1 8 X+3 2X X+2 2X+8 1 1 2X+4 X+1 3 2 1 2X+1 X 1 X+2 1 2X+3 2X+8 8 X+4 1 1 X 1 X+4 X+8 3 8 0 1 1 X+1 2X+8 2X 2X+5 2X+4 4 8 1 2X+6 1 X+1 1 5 2X X+7 2X+7 2X+5 1 7 2X 1 1 1 2X+8 1 6 4 5 2X+1 2X+3 2X 6 2 0 0 2X 0 0 6 3 0 6 6 2X+3 2X X+3 X 2X X X+6 2X+3 2X+3 X+6 X 2X+6 2X+6 X+6 X 2X+3 X X X+6 X+3 X 2X 2X 2X+3 6 0 2X+3 6 3 2X 0 2X+6 X+6 3 0 2X+3 X+3 X+3 2X+6 2X 2X+3 6 2X 0 X+3 3 6 3 0 2X 2X+6 X+6 2X+3 X X+3 3 2X+3 X 0 0 0 6 0 0 0 3 6 3 3 6 6 6 3 3 3 6 0 6 3 6 3 3 6 0 0 0 3 3 6 6 3 3 6 3 0 3 0 0 0 0 0 3 0 0 6 3 6 0 3 0 6 6 3 3 3 6 3 3 0 6 3 6 6 6 6 0 0 0 0 0 3 6 6 3 6 3 0 0 0 0 3 6 6 6 3 6 3 6 0 3 0 3 6 6 0 0 3 3 3 6 0 3 6 3 3 6 3 0 0 0 6 3 6 3 0 0 6 0 3 6 6 0 6 3 6 0 3 0 3 3 6 6 6 3 generates a code of length 68 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 126. Homogenous weight enumerator: w(x)=1x^0+526x^126+342x^127+432x^128+2140x^129+1278x^130+2142x^131+4108x^132+3816x^133+4662x^134+6146x^135+6048x^136+6264x^137+6622x^138+4716x^139+3582x^140+3120x^141+1206x^142+414x^143+782x^144+90x^145+354x^147+168x^150+76x^153+8x^156+2x^159+2x^162+2x^165 The gray image is a code over GF(3) with n=612, k=10 and d=378. This code was found by Heurico 1.16 in 10.8 seconds.