The generator matrix 1 0 1 1 1 1 X+3 1 1 1 2X 1 1 1 X+3 1 1 1 0 1 1 1 2X 1 1 X 1 1 1 1 1 3 1 1 1 1 2X+3 1 X+3 1 1 1 1 1 1 1 1 X+3 1 1 2X 1 1 1 1 1 1 1 1 1 1 6 1 X+3 1 1 1 X 1 1 1 1 1 1 1 1 1 2X 2X+6 X+3 1 1 X+6 1 1 1 1 1 1 1 0 1 1 8 X+3 X+2 1 2X+4 2X+8 2X 1 X+1 4 0 1 2 X 2X+2 1 2X+4 X+3 X+2 1 1 2X+3 1 X+4 2X+8 2X X+1 8 1 0 2X+1 X+8 X+4 1 X+6 1 4 X+2 2X+2 2 1 2 0 2X+5 1 2X+7 X+3 1 X+5 X+6 8 2X+7 2X 4 2X+8 2X X+1 X 1 X+1 1 X+6 4 3 1 2X+7 X X+8 7 6 1 X+3 0 2 1 1 1 X+8 X+1 1 X+2 2X+8 2X+6 X+4 3 2X+7 0 0 0 2X 0 0 3 3 3 0 6 0 3 3 2X+3 2X+3 X+3 X+3 X+6 2X+6 2X 2X+3 2X+3 2X+6 X+6 X+6 X X+6 2X 2X+3 2X 2X+6 X 2X+6 X+6 X X X+6 X+6 2X 6 0 X+6 X X+6 2X+3 0 6 0 2X+6 2X+3 0 6 3 X+3 6 2X X X+3 2X 3 6 2X 2X 6 X+3 X+6 0 2X+3 6 2X 2X+6 2X+3 X+6 0 2X+6 6 X 6 X+3 3 2X+6 6 2X+6 2X+6 2X+3 6 2X 3 X+3 0 0 0 0 6 0 0 0 3 3 0 0 6 3 0 0 3 3 6 3 6 0 6 3 6 3 3 0 6 3 0 3 0 0 6 6 6 0 3 3 6 3 3 0 0 6 3 0 3 6 3 6 6 3 3 0 6 3 6 3 6 3 0 0 3 0 0 0 0 6 6 3 6 0 0 6 6 3 3 3 6 0 0 0 3 3 3 0 3 0 6 0 0 0 0 3 3 6 6 6 6 3 0 0 6 3 3 0 6 3 3 3 0 0 3 6 3 3 6 0 6 6 0 0 0 0 6 3 3 6 6 0 0 6 6 3 6 0 6 0 3 0 3 0 6 6 0 0 3 6 3 3 3 3 3 0 0 3 0 3 6 0 6 3 0 0 3 6 0 6 6 6 0 6 3 6 6 0 0 6 6 generates a code of length 90 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 168. Homogenous weight enumerator: w(x)=1x^0+68x^168+174x^169+354x^170+914x^171+1488x^172+1362x^173+2064x^174+3360x^175+2448x^176+3944x^177+5880x^178+3528x^179+5276x^180+6996x^181+3942x^182+4806x^183+5022x^184+2118x^185+2024x^186+1410x^187+606x^188+342x^189+282x^190+108x^191+92x^192+114x^193+54x^194+88x^195+24x^196+30x^197+28x^198+18x^199+24x^200+20x^201+18x^202+6x^203+12x^204+2x^213+2x^228 The gray image is a code over GF(3) with n=810, k=10 and d=504. This code was found by Heurico 1.16 in 14.1 seconds.