The generator matrix 1 0 0 1 1 1 1 1 1 1 6 1 X 1 1 X 1 1 6 1 1 2X+6 1 0 1 1 1 3 1 1 2X+3 1 1 1 1 6 1 X+3 1 1 1 1 1 1 1 1 1 2X+6 3 1 1 2X 2X+6 X+6 1 1 1 1 1 1 1 1 X+6 1 1 1 2X 0 1 1 X+6 1 1 1 1 1 1 1 1 1 1 1 X+3 1 2X+6 1 3 1 1 0 1 0 0 3 2X+7 2X+7 X+8 1 X+5 1 5 1 2X 3 1 1 5 1 1 X+7 1 X+2 X 0 2X+2 2X+6 1 2X+2 2X+3 1 2X+5 X+1 8 4 X+6 X+6 1 4 2X X+7 2X+2 2X+6 2X+4 X+7 8 X+8 1 1 6 6 2X+3 1 1 0 2 5 2X+7 2X+1 2X+6 2X+6 X+2 1 X X+5 7 X 0 2X+5 1 1 6 2X+6 8 2X 2 2 X+3 X+8 2X+3 2X+4 X+2 1 0 1 7 1 2X+5 2X 0 0 1 1 5 5 2X+6 1 4 2X+6 7 X+5 X+8 X+1 0 X+3 X+8 6 X+8 2X+1 2X+3 X+1 7 1 X+2 8 2X+6 5 2X+4 2X+4 X+7 0 X+8 5 X+6 1 2X+8 3 2X+7 6 X+6 X+7 2X+7 2X+8 X+7 2X+4 X+2 4 2X+3 8 2X+3 1 2 X+3 X+1 X+1 2X 6 X+6 X+8 X+3 X+8 X+1 X+7 2X+8 X+7 1 1 X+3 2X+5 3 2X+6 2X+8 7 2X+8 8 2X+5 5 6 X+7 2X+2 X+3 X+1 2X+8 2 2X+5 X+1 3 2X+1 0 0 0 2X 6 3 0 3 0 6 6 6 0 0 X 2X+6 2X 2X+6 2X+6 2X+6 2X+6 2X 2X+3 X+3 2X+3 2X+3 2X+3 X+6 X+3 X+6 X X+6 X X X+6 2X+6 X+6 X+6 X X+3 X+3 2X+6 2X+6 X+3 2X+3 3 X+6 6 2X+3 X+6 0 X 2X+6 X+6 X X+3 X 2X+3 0 2X+6 X X+3 X+3 3 2X+3 6 0 2X+6 3 3 3 2X+6 6 6 X 3 X+6 2X+3 2X 2X X 0 0 6 X+6 2X 2X 2X+3 X+3 generates a code of length 89 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 166. Homogenous weight enumerator: w(x)=1x^0+216x^166+522x^167+1316x^168+3000x^169+3810x^170+5098x^171+7422x^172+8418x^173+9196x^174+11430x^175+13656x^176+13952x^177+15906x^178+16254x^179+14904x^180+13656x^181+11520x^182+8538x^183+7044x^184+4542x^185+2656x^186+2100x^187+834x^188+334x^189+324x^190+162x^191+56x^192+72x^193+36x^194+52x^195+36x^196+18x^197+12x^198+18x^199+6x^200+12x^201+12x^202+6x^204 The gray image is a code over GF(3) with n=801, k=11 and d=498. This code was found by Heurico 1.16 in 94.6 seconds.