The generator matrix 1 0 0 1 1 1 1 1 1 1 6 1 2X+3 1 2X 1 1 1 1 1 X+3 3 1 3 1 1 1 X+6 2X 1 1 1 1 1 X 1 1 1 1 2X 1 X+3 2X+6 1 1 1 2X+6 2X+6 0 1 X 1 1 1 1 X+3 1 2X+3 1 1 2X+6 1 1 1 1 1 1 1 0 1 1 1 6 1 X 1 1 1 X+3 2X 1 X+6 1 0 1 0 0 6 2X+4 2X+1 X+8 X+4 X+5 1 8 1 X+3 1 2X+4 2X+8 4 2X+2 2 2X+3 1 2X+6 1 2X+1 2X+3 X+4 1 6 1 X+3 X+2 8 2X+1 1 2X+5 2X+3 4 X+6 1 2X+8 1 1 6 X+5 X+1 1 1 1 5 1 1 X+3 2X+3 1 X 6 1 2X+7 X+2 2X X+5 2X+6 2 2X+6 X+7 X+7 X 1 1 X+2 6 1 X+5 X 2X+6 2X+3 X+6 1 1 7 1 2X+4 0 0 1 2X+4 2 5 2X+1 X X+3 X+2 2X+2 X+1 4 3 2X+8 0 2X+8 X+1 X+6 2X+4 1 X 2X+7 X+1 2X+5 5 2 X+7 1 X+3 2X+3 2X+1 2X+5 X+7 2X+3 2X+3 X+7 2X+6 X+2 8 3 7 2X+7 2X+2 3 2X+5 2X+6 X+5 2X+4 5 2X+2 X+3 X+4 3 5 1 X+2 3 X 2X+8 1 X+1 7 X+6 2X+3 2X+4 5 2X+7 2 6 2X+6 2X+6 7 2 1 X 2X+8 X+8 6 2 1 2X+4 3 0 0 0 3 3 3 3 3 3 3 0 3 0 3 3 6 0 0 6 6 3 6 6 3 0 0 6 6 6 0 6 0 6 6 3 0 0 6 6 6 6 3 0 6 0 0 0 6 6 3 0 3 6 3 6 0 3 6 0 6 3 3 6 3 3 6 3 3 3 6 3 6 6 0 6 6 3 0 6 3 0 0 0 generates a code of length 83 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 157. Homogenous weight enumerator: w(x)=1x^0+426x^157+804x^158+1754x^159+3234x^160+2796x^161+4602x^162+5172x^163+3726x^164+4680x^165+5964x^166+3906x^167+4906x^168+5040x^169+2496x^170+2952x^171+2730x^172+1482x^173+1084x^174+708x^175+312x^176+148x^177+18x^178+18x^179+26x^180+12x^181+6x^182+8x^183+12x^184+8x^186+6x^187+6x^190+6x^191 The gray image is a code over GF(3) with n=747, k=10 and d=471. This code was found by Heurico 1.16 in 9.31 seconds.