The generator matrix 1 0 1 1 1 1 1 X+3 1 2X 1 1 1 1 0 1 1 X+3 1 1 2X 1 1 1 1 1 1 1 0 1 1 1 2X 1 1 1 1 X+3 1 0 1 1 1 1 1 X+3 2X 1 1 0 1 2X 6 1 1 1 6 1 X+3 1 1 1 1 1 1 1 1 1 1 6 1 2X+6 1 X 0 1 2X+4 8 X+3 X+1 X+2 1 4 1 2X 2X+8 8 0 1 2X+4 X+2 1 X+1 X+3 1 4 2X 2X+8 X+1 8 X+3 2X+8 1 4 X+2 0 1 2X+4 2X 5 4 1 X+3 1 2X+4 2X X+1 X+2 8 1 1 8 2X+8 1 0 1 1 2X+6 X+3 6 1 2X+8 1 X+6 8 2X+5 X+6 0 2 2X 5 X+3 2X+6 1 X 1 X+2 0 0 0 3 0 0 0 3 3 6 3 3 0 6 0 6 6 6 0 3 0 0 6 3 0 6 6 3 6 0 6 6 0 6 6 6 0 6 3 0 6 0 0 0 3 6 3 6 0 3 3 6 0 0 3 6 6 6 6 3 3 0 6 3 3 3 0 0 0 0 6 6 6 6 6 0 0 0 6 0 0 3 3 0 6 0 6 0 6 3 3 0 3 0 3 6 6 3 6 3 6 3 3 6 6 6 0 3 6 0 0 6 0 6 0 6 0 0 0 6 6 0 3 6 6 0 3 0 3 3 3 0 3 3 6 3 6 3 6 3 6 3 3 0 0 6 3 0 0 0 0 0 0 3 0 6 3 3 3 3 3 6 3 0 0 0 3 6 0 6 3 3 0 3 3 0 3 3 6 0 6 6 0 3 3 6 6 6 6 6 0 6 0 6 0 6 6 6 3 6 3 6 6 6 0 0 6 6 3 0 6 0 0 6 0 3 6 3 3 0 6 3 0 0 0 0 0 0 6 0 3 3 6 0 6 6 0 0 6 6 3 6 6 3 6 3 3 6 3 0 0 6 0 0 3 0 6 0 3 3 0 6 3 3 3 0 3 6 3 6 0 6 0 6 6 6 0 6 0 6 6 0 3 6 3 6 3 3 6 0 3 3 3 6 3 0 3 generates a code of length 74 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 135. Homogenous weight enumerator: w(x)=1x^0+156x^135+84x^136+156x^137+554x^138+456x^139+792x^140+1520x^141+1512x^142+2586x^143+3286x^144+2928x^145+6186x^146+5612x^147+3978x^148+8028x^149+6076x^150+3966x^151+4692x^152+2934x^153+1386x^154+786x^155+662x^156+204x^157+90x^158+172x^159+30x^160+12x^161+78x^162+30x^163+32x^165+6x^166+20x^168+12x^171+10x^174+6x^177+4x^180+4x^183+2x^192 The gray image is a code over GF(3) with n=666, k=10 and d=405. This code was found by Heurico 1.16 in 11.7 seconds.