The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 6 1 1 1 1 1 1 X 1 1 X 1 0 X 2X 0 X+3 2X 6 2X+6 X+3 X+3 2X 0 6 X+3 2X 2X+6 0 6 X+6 X+3 2X 2X+6 2X+3 2X+6 X+6 X+3 6 X+6 3 X+6 X+6 X+3 X+6 X+3 X+6 X+6 X 2X 2X 2X+6 2X 2X+6 X+3 2X+6 2X+3 0 0 0 6 6 3 3 0 0 3 X+6 2X+3 2X 2X+6 2X 6 2X 6 0 3 2X+6 2X+3 2X+6 2X+6 2X+3 6 6 6 0 3 X+3 X+3 X+6 X 6 X+3 X+6 X X+6 X X 2X 0 0 X+3 2X 0 0 6 0 0 0 0 3 3 6 6 6 3 6 0 6 6 3 0 6 3 6 0 3 0 3 6 6 3 3 3 3 3 6 0 0 6 0 0 6 6 6 3 0 0 0 3 6 3 3 3 3 6 0 6 3 3 3 0 6 0 6 6 6 3 3 3 0 3 3 6 3 0 0 0 3 6 0 0 0 6 0 0 6 6 3 0 0 3 3 6 0 0 0 6 0 0 3 0 0 0 0 0 6 3 3 6 3 3 6 3 3 3 6 6 3 6 6 6 0 3 6 3 0 0 6 3 6 0 3 3 3 0 3 3 0 0 3 0 3 0 6 0 3 0 0 3 0 6 6 6 6 6 6 6 6 3 0 6 3 6 3 6 3 6 3 6 0 0 3 0 6 0 6 3 0 6 6 3 3 3 3 0 0 0 0 3 3 0 6 3 6 3 6 3 0 3 0 6 3 0 6 6 0 3 6 0 3 6 6 3 3 6 6 6 0 3 3 0 0 6 6 3 6 0 0 6 6 6 0 0 0 6 6 3 3 3 0 0 0 0 6 6 3 3 0 0 0 3 6 3 3 0 0 3 3 6 0 3 3 6 0 3 6 6 3 6 0 0 6 3 0 0 generates a code of length 91 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 174. Homogenous weight enumerator: w(x)=1x^0+166x^174+84x^175+54x^176+276x^177+672x^178+216x^179+246x^180+1458x^181+216x^182+1580x^183+1002x^184+108x^186+78x^187+122x^189+46x^192+48x^193+84x^195+60x^196+18x^198+24x^201+2x^264 The gray image is a code over GF(3) with n=819, k=8 and d=522. This code was found by Heurico 1.16 in 50.8 seconds.