The generator matrix 1 0 1 1 1 1 1 X+3 1 1 1 2X 1 1 1 0 1 1 1 2X 1 1 1 X+3 1 1 1 1 1 1 0 1 1 2X 1 1 1 X+3 1 1 X+3 0 1 X+6 1 2X 1 1 1 X+6 1 1 1 1 1 1 1 1 1 1 1 1 1 6 1 2X+6 6 6 1 1 1 1 X+3 X+6 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 2X+4 8 X+3 X+1 X+2 1 4 2X 2X+8 1 8 0 2X+4 1 X+2 2X+8 X+1 1 X+3 2X 4 1 8 X+2 2X+8 2X+5 6 2X+4 1 X+1 X+3 1 4 2X+4 5 1 2X X+5 1 1 0 1 4 1 2X X+1 X+6 1 2X+8 0 2X+7 7 X+2 X+8 2X+6 2X+2 8 X+7 7 2X+3 6 1 X+2 1 1 1 X+3 X+6 2X X+6 1 1 2 5 X+1 X 5 2X+8 X+4 2X+7 2X+6 4 X+7 2 X+6 6 5 1 0 0 3 0 0 0 0 0 0 6 6 6 6 6 3 6 6 6 6 3 3 3 6 3 3 3 6 6 3 3 6 3 3 6 6 6 3 0 3 0 6 0 0 3 3 3 3 3 0 6 0 6 6 0 3 6 6 3 0 0 0 6 0 0 0 3 3 3 6 6 0 6 0 0 0 3 0 3 6 0 6 3 3 3 3 6 6 3 6 0 0 0 0 6 0 6 3 0 3 0 3 3 3 0 0 6 6 6 0 0 3 6 0 0 6 3 3 6 0 3 0 6 0 0 3 6 0 3 6 0 6 6 3 3 6 3 3 6 3 3 0 6 3 0 3 0 3 0 6 0 3 3 6 3 6 6 0 6 3 0 6 6 0 6 6 3 0 6 0 3 0 3 0 3 0 6 6 6 0 0 0 0 0 0 3 3 0 3 3 3 3 6 6 0 6 6 6 3 6 0 6 6 0 3 0 0 0 0 0 3 3 3 3 0 3 3 3 6 0 3 3 6 0 6 0 3 3 6 6 0 6 6 0 0 6 6 6 6 6 6 6 0 3 0 0 6 0 0 3 0 0 3 6 0 3 3 3 6 3 6 0 0 3 6 3 6 0 3 0 3 generates a code of length 90 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 171. Homogenous weight enumerator: w(x)=1x^0+206x^171+378x^172+702x^173+946x^174+1098x^175+1296x^176+964x^177+1638x^178+1782x^179+1024x^180+2178x^181+2052x^182+1058x^183+1494x^184+1296x^185+560x^186+468x^187+162x^188+158x^189+36x^190+114x^192+42x^195+20x^198+4x^207+6x^210 The gray image is a code over GF(3) with n=810, k=9 and d=513. This code was found by Heurico 1.16 in 1.88 seconds.