The generator matrix 1 0 1 1 1 1 1 X+3 1 2X 1 1 1 1 0 1 2X 1 1 1 X+3 1 1 1 1 1 0 1 X+3 1 1 2X 1 1 1 X+3 1 1 X+3 1 1 1 2X 1 0 6 1 1 0 1 1 1 2X+6 1 1 1 1 X+6 1 1 X+6 1 1 1 1 2X 1 1 2X+6 1 1 1 1 1 1 1 1 0 1 2X+4 8 X+3 X+1 X+2 1 4 1 2X 2X+8 8 0 1 2X+4 1 X+1 X+2 X+3 1 2X+8 4 2X 8 2X+4 1 0 1 X+2 2X+8 1 4 X+3 X+1 1 8 2X 1 2X+4 4 2X 1 0 1 1 X+3 X+1 1 2X+4 4 2X+8 1 2X 0 5 2X+8 1 8 7 1 2X+7 2X+6 2X+4 2X+5 1 2X+2 X+2 1 2X X+6 2 2X+6 2X+5 X+7 2X+3 0 0 0 3 0 0 0 3 3 6 3 3 0 6 0 6 0 6 6 6 3 0 0 3 3 3 0 0 6 6 3 0 6 6 0 3 6 3 3 3 3 3 6 3 3 3 3 0 0 6 0 6 3 6 3 3 6 3 6 0 6 6 3 0 0 3 3 0 0 0 6 3 3 3 0 0 6 6 0 0 0 6 0 0 3 3 0 6 0 6 0 6 3 3 6 6 3 0 0 3 0 6 6 6 6 6 0 3 0 0 3 0 0 3 6 3 6 3 3 6 6 3 6 3 3 0 0 3 6 0 6 6 6 0 6 0 0 0 0 6 3 6 0 3 3 3 0 3 3 3 6 6 6 0 3 0 0 0 0 3 0 6 3 3 3 3 3 6 3 0 3 0 0 3 6 3 0 3 3 0 0 3 3 3 6 6 0 3 0 6 6 6 6 0 0 0 6 0 0 3 3 3 6 6 0 0 0 3 6 3 3 0 3 6 3 6 6 6 3 0 6 3 6 6 3 6 0 3 3 3 3 0 0 0 0 0 0 6 0 3 3 6 0 6 6 0 0 6 3 6 0 6 6 6 6 6 6 6 6 0 6 6 0 6 6 3 0 6 6 0 3 6 3 6 6 0 0 6 6 0 3 3 0 3 3 6 3 6 0 3 6 6 0 3 3 6 0 6 0 6 6 3 3 0 0 0 3 3 6 generates a code of length 77 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 141. Homogenous weight enumerator: w(x)=1x^0+136x^141+60x^142+132x^143+422x^144+606x^145+1170x^146+1192x^147+1638x^148+2592x^149+2718x^150+4044x^151+6006x^152+4348x^153+5682x^154+7458x^155+4898x^156+4788x^157+4650x^158+2270x^159+1884x^160+1206x^161+446x^162+192x^163+66x^164+182x^165+54x^166+48x^167+70x^168+6x^169+14x^171+18x^174+20x^177+12x^180+8x^183+6x^186+4x^189+2x^192 The gray image is a code over GF(3) with n=693, k=10 and d=423. This code was found by Heurico 1.16 in 14.4 seconds.