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 X 1 1 1 1 X 1 1 1 0 1 1 1 1 1 1 1 1 X X 1 1 0 1 1 1 1 1 X X 1 1 1 X 1 0 1 X 1 1 1 0 X 2X 0 X+3 2X 0 X+3 2X 6 X+3 2X+6 0 X+3 2X X+6 3 2X+6 X+3 0 2X 0 2X+6 2X+6 X+3 3 6 X+6 2X+6 X 3 2X 0 6 X+3 X+3 2X X 6 2X+3 X+3 X 2X 2X+3 2X+6 2X 6 2X 2X X 6 X+3 2X+6 X+6 6 6 3 X X+3 2X X 2X+6 X 0 X+6 X+3 3 2X+6 2X X+3 2X+6 2X+6 6 X+3 6 X 2X+6 2X X+3 2X+3 3 0 0 6 0 0 0 0 3 6 0 6 3 3 6 0 3 6 3 6 6 0 0 3 6 3 3 3 6 0 0 0 6 6 6 6 3 0 3 6 0 6 3 6 6 3 6 3 0 3 0 6 3 3 0 0 0 3 6 0 3 6 6 3 3 0 3 0 0 3 0 6 0 3 3 3 0 0 6 6 0 0 0 0 0 6 0 0 0 0 0 3 0 0 6 3 3 3 3 3 3 6 0 3 0 6 0 0 3 6 6 0 3 3 0 3 3 3 3 6 3 6 3 6 6 0 3 3 6 3 0 0 3 0 3 6 6 6 6 6 6 3 3 6 6 3 3 3 0 3 6 6 3 6 6 3 3 3 3 0 0 0 6 0 0 0 0 3 0 6 3 6 6 0 6 3 0 3 6 3 6 3 0 6 0 6 0 0 6 3 0 6 0 6 0 6 0 6 6 6 6 6 0 6 6 6 0 3 0 0 0 0 3 6 0 3 0 3 6 0 6 6 6 6 3 6 0 6 3 3 3 3 0 6 3 0 3 3 6 3 6 3 3 0 0 0 0 0 0 6 6 0 3 6 0 6 6 6 6 6 0 0 6 6 3 6 0 0 6 6 3 0 0 6 3 6 0 3 0 3 6 6 3 0 3 0 3 6 0 3 6 0 6 6 6 0 3 3 0 3 3 6 0 3 3 0 3 6 6 0 6 3 3 6 6 0 0 0 0 0 6 3 3 6 0 generates a code of length 81 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 148. Homogenous weight enumerator: w(x)=1x^0+30x^148+292x^150+108x^151+60x^152+376x^153+276x^154+120x^155+640x^156+1002x^157+276x^158+1400x^159+2832x^160+300x^161+2496x^162+3720x^163+342x^164+1818x^165+1902x^166+264x^167+450x^168+168x^169+72x^170+300x^171+102x^172+24x^173+110x^174+36x^175+52x^177+24x^178+28x^180+6x^181+10x^183+14x^186+6x^189+10x^192+4x^195+4x^198+2x^201+2x^204+2x^207+2x^210 The gray image is a code over GF(3) with n=729, k=9 and d=444. This code was found by Heurico 1.16 in 38.9 seconds.