The generator matrix 1 0 1 1 1 1 1 1 X+3 2X 1 1 1 1 0 1 1 X+3 1 1 1 1 1 1 3 2X+3 2X 1 1 1 1 1 0 1 1 X+3 1 1 1 1 1 1 1 1 X 1 1 0 1 1 0 1 3 1 1 X+3 1 1 6 1 1 3 1 1 2X+3 1 1 1 X 1 2X X+3 X+6 1 1 1 1 1 2X+6 X 1 X+3 1 1 0 1 1 1 1 0 1 1 8 X+3 2X X+2 2X+8 1 1 2X+4 X+1 3 2 1 2X+1 X 1 8 X+4 1 2X+3 2X+8 X+2 1 1 1 2X+4 2X+2 3 X+1 2X+3 1 8 2X 1 X+2 5 0 X+6 2X+1 X+8 2X+7 5 1 4 X+4 1 7 2X 1 1 1 3 2X+8 1 2X+1 2 1 3 X+6 1 6 2X+8 1 X 2X+1 1 1 X+2 1 1 1 8 X+8 0 2X+4 3 1 X+6 X+4 1 2X X+4 X 6 6 8 2X 0 0 2X 0 0 6 3 0 6 6 2X+3 2X X+3 X 2X X X+6 2X+6 2X+6 X+3 X+3 X 2X+6 2X+3 X X+6 2X+3 2X+6 X+3 X+6 2X+3 X 2X+6 2X 2X 3 2X+3 2X+6 6 2X+6 X+6 3 X+6 0 0 6 X+6 0 2X 3 3 2X 2X 3 3 2X+3 2X+3 6 X+3 2X+6 X+3 2X+6 X+3 X+6 6 X 3 3 2X+6 6 X+6 2X+3 2X X+6 2X+3 2X+3 2X 2X+6 X 2X+3 2X+3 0 2X+6 3 2X X 0 0 0 0 0 0 6 0 0 0 3 6 3 3 6 6 6 3 3 3 0 6 0 6 3 6 6 0 6 0 0 3 0 6 6 6 3 0 0 0 0 3 6 0 0 3 3 6 6 6 3 6 6 3 6 3 3 6 3 0 3 6 0 3 0 0 0 0 6 0 0 3 6 3 6 6 6 3 6 0 3 0 6 0 3 0 6 3 6 0 0 6 0 0 0 0 3 6 6 3 6 3 0 0 0 0 3 6 6 6 3 0 3 3 6 0 6 0 3 3 3 0 3 3 6 6 0 3 3 0 3 3 6 0 3 6 0 3 0 6 6 0 0 0 0 0 3 6 6 0 3 6 0 3 6 6 3 6 3 6 0 0 3 0 3 3 0 0 6 6 6 3 0 3 3 0 3 3 6 0 0 generates a code of length 89 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 167. Homogenous weight enumerator: w(x)=1x^0+270x^167+422x^168+726x^169+1530x^170+1514x^171+2562x^172+2838x^173+2852x^174+4164x^175+5088x^176+4100x^177+5448x^178+5592x^179+4628x^180+4626x^181+4698x^182+2296x^183+2166x^184+1404x^185+598x^186+522x^187+288x^188+180x^189+108x^190+78x^191+88x^192+54x^193+42x^194+42x^195+18x^196+42x^197+22x^198+12x^199+16x^201+6x^202+2x^204+4x^210+2x^213 The gray image is a code over GF(3) with n=801, k=10 and d=501. This code was found by Heurico 1.16 in 15.3 seconds.