The generator matrix 1 0 1 1 1 1 1 X 2X 1 1 1 1 3 1 1 X 1 1 1 1 1 1 X 1 1 1 X 1 X+6 1 1 2X+6 1 1 1 3 1 1 1 1 1 2X+6 1 1 1 X+6 1 6 1 1 1 1 1 2X+3 1 1 6 3 6 1 1 0 1 2X+3 1 1 1 1 1 1 1 1 1 1 1 0 1 1 8 3 2X+1 8 1 1 8 2X+4 X+3 X+1 1 3 X+8 1 2X+6 2X+5 X+4 3 X+4 X+5 1 2X X+1 2X+2 1 X+3 1 2X+5 2X+1 1 X X+2 5 1 1 2X+1 2X+8 2X+3 1 1 5 X+3 X+1 1 X 1 2X+5 7 5 X+8 X+5 1 2X+4 2X+1 1 1 1 2X 3 1 X+3 1 7 2X+2 2X+8 X+4 2X+6 2X+5 X+6 0 7 6 2X+1 0 0 2X 0 3 0 0 6 0 3 3 6 6 X+6 X 2X+3 2X 2X X+6 X+6 X+3 X 2X 2X+3 2X 2X X X+6 2X+3 X X X+6 2X+3 X+6 0 2X+3 2X+6 X+3 2X+3 2X+6 3 6 2X X+3 X+6 2X X+6 2X X+6 2X+3 3 0 X+6 3 2X 2X+6 X+3 6 X+3 6 X+3 X+3 2X 0 0 6 0 2X+3 6 0 2X+6 3 2X+3 0 2X 2X+3 0 0 0 X X+3 X+6 6 X 2X+6 2X+6 2X+3 2X 3 2X+6 6 X+6 2X X+3 2X+3 6 2X+3 X 6 X+3 2X X 0 X 0 0 X+6 2X+6 6 X 6 2X+6 2X+3 X 3 3 2X+3 6 X+3 3 3 2X+3 X+6 X+6 3 X+6 X 2X+3 2X X 2X+6 2X+6 3 2X+6 X+3 X X+6 2X X 0 X+6 2X 2X 2X 0 X X 3 X+3 2X+6 0 X+6 generates a code of length 76 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 141. Homogenous weight enumerator: w(x)=1x^0+130x^141+162x^142+474x^143+1162x^144+1542x^145+2490x^146+2366x^147+3180x^148+4356x^149+4392x^150+4962x^151+6612x^152+5330x^153+6024x^154+5736x^155+3442x^156+2484x^157+1782x^158+956x^159+438x^160+300x^161+216x^162+78x^163+72x^164+114x^165+60x^166+18x^167+66x^168+18x^169+30x^170+32x^171+6x^172+18x^174 The gray image is a code over GF(3) with n=684, k=10 and d=423. This code was found by Heurico 1.16 in 11.2 seconds.