The generator matrix 1 0 1 1 1 1 1 X+3 1 1 2X 1 0 1 1 1 1 1 1 X+3 2X 1 1 1 X+3 1 1 0 1 1 1 1 1 1 1 1 2X 1 1 1 1 1 1 0 1 2X 1 1 1 1 6 1 1 2X+6 1 1 1 X+6 3 1 2X 2X+3 1 1 1 1 1 1 0 1 2X+3 3 1 1 1 1 2X+3 1 1 1 1 1 1 0 1 2X+4 8 X+3 X+1 X+2 1 2X 2X+8 1 4 1 0 2X+4 8 X+1 X+2 X+3 1 1 2X+8 2X 4 1 2X+4 8 1 0 2X 4 X+2 X+3 X+1 2X+8 X+6 1 2X+7 2X+8 2X+6 6 X+5 X+7 1 X+1 1 2X+4 2X+5 8 4 1 5 0 1 X+2 8 7 1 1 X+7 1 1 2 X+2 7 6 X+3 2 1 6 1 1 4 2X 2X+3 X+5 1 X+6 2 X+8 6 X+6 X+1 0 0 3 0 0 0 6 6 6 6 6 3 0 3 0 3 3 3 6 3 0 6 0 6 6 3 3 3 6 3 6 0 3 0 0 3 3 6 3 6 0 0 3 3 3 3 6 3 3 3 6 3 3 3 6 6 6 0 6 0 0 6 0 6 6 6 6 0 0 0 0 6 0 0 3 0 0 6 6 0 0 3 3 0 0 0 6 0 0 0 0 0 3 6 3 6 6 6 6 3 6 6 6 3 3 3 3 0 0 0 3 6 6 6 3 3 6 6 3 3 3 3 0 3 3 6 3 3 6 6 0 0 0 6 6 6 6 3 0 6 3 0 0 3 6 6 6 3 6 0 3 0 0 0 3 3 6 3 3 6 3 6 0 6 6 6 0 0 0 0 3 6 3 0 6 3 6 0 6 6 3 0 6 3 6 0 6 6 3 0 3 6 3 3 0 3 3 6 6 6 3 3 6 3 0 0 6 0 6 0 3 3 0 6 0 3 3 6 0 6 0 6 6 3 6 3 0 0 6 3 6 3 3 3 6 6 3 3 6 6 0 3 3 6 6 0 0 6 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+138x^157+348x^158+606x^159+930x^160+1104x^161+1510x^162+936x^163+1458x^164+1748x^165+1272x^166+2046x^167+2296x^168+1194x^169+1452x^170+1208x^171+714x^172+258x^173+136x^174+96x^175+90x^176+10x^177+36x^178+36x^179+8x^180+24x^181+12x^182+2x^183+6x^184+4x^186+2x^192+2x^210 The gray image is a code over GF(3) with n=747, k=9 and d=471. This code was found by Heurico 1.16 in 2.04 seconds.