The generator matrix 1 0 1 1 1 1 X+3 1 1 1 2X 1 1 0 1 1 1 3 1 1 1 X 1 1 2X 1 1 1 1 1 0 1 2X+3 1 1 1 1 1 1 1 1 X+3 1 1 1 1 1 1 1 X+3 1 1 1 1 1 1 1 1 1 2X 2X+6 1 2X+6 1 3 2X+3 1 1 1 3 2X+6 X+3 1 1 6 1 0 1 1 8 X+3 X+2 1 2X+4 2X+8 2X 1 X+1 0 1 2X+4 2 X 1 2X+8 X+1 8 1 X+3 4 1 X+8 X+4 3 1 X+2 1 X+3 1 2X+3 1 X+2 2X 2X+4 2X+3 2X+2 X+5 1 X 5 2X+7 X+4 2X+5 X+5 X+6 1 2X+2 X+2 2X+7 2X+4 X+7 X+6 2X+7 2X+3 2X+5 1 1 X 1 8 0 1 2 7 2X+8 1 1 1 2 2X+3 1 0 0 0 2X 0 0 3 3 3 0 6 0 3 2X+6 2X+3 2X+3 X+6 X+6 X+3 2X 2X+6 2X X 2X+3 3 2X X+3 X+3 X X+3 2X+3 2X+6 0 X+6 X+6 X+6 3 2X+6 6 X X+6 2X+3 2X X+3 0 X+6 X+3 3 X+6 3 3 X+3 X+6 2X+3 0 2X+3 2X+6 6 2X 2X+6 X+6 X+3 0 X 2X+6 X 0 2X+6 6 X+6 6 3 2X X+3 6 2X+6 6 0 0 0 6 0 0 0 3 3 0 0 6 0 0 0 0 0 6 3 3 6 3 6 3 3 3 6 6 0 3 6 6 0 3 3 0 0 6 6 6 3 3 3 3 3 0 6 0 3 6 6 0 6 6 6 3 6 0 6 3 0 3 6 0 3 3 6 0 6 6 3 6 6 3 0 6 0 0 0 0 3 3 6 6 6 6 3 0 3 0 6 3 6 6 6 6 0 3 6 0 3 0 6 6 6 0 6 6 6 3 0 6 0 6 3 6 3 6 6 0 3 0 3 0 0 3 0 6 6 3 0 3 0 6 6 0 0 6 6 3 0 0 3 0 3 0 6 6 0 0 3 3 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+160x^141+246x^142+390x^143+1186x^144+1644x^145+2370x^146+2498x^147+3540x^148+4146x^149+4100x^150+5202x^151+6324x^152+5348x^153+6114x^154+4842x^155+3514x^156+2976x^157+1998x^158+902x^159+558x^160+210x^161+254x^162+54x^163+90x^164+172x^165+54x^166+30x^167+58x^168+24x^169+6x^170+22x^171+6x^173+8x^174+2x^189 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 12.3 seconds.