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 X 1 X 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 X 1 X 1 1 1 0 X 1 X 1 0 1 1 1 X 1 1 0 X 2X 0 X+3 2X 0 X+3 2X 6 X+3 2X 2X+6 0 X+3 X+6 2X+6 6 2X 0 X+3 X+6 3 2X X 0 2X+3 3 X+3 2X+6 X+3 3 2X+3 6 2X+6 2X X 2X+3 6 X 2X+3 X+3 3 2X 3 2X+3 X+6 2X+6 X X+6 X+6 X+3 0 X X+6 2X+3 X+6 2X 2X 2X+3 X+3 2X 2X X+3 X 2X+6 X X+3 2X+3 3 6 X 0 2X+6 2X+3 6 X X 0 0 6 0 0 0 0 3 6 0 6 3 3 0 0 6 0 0 6 3 3 6 3 3 6 3 6 3 3 0 3 3 3 3 0 0 0 0 3 3 6 6 6 6 6 0 3 3 3 6 3 0 0 6 0 3 3 3 0 0 6 3 3 3 0 6 6 0 6 3 0 0 0 0 6 0 6 6 0 0 0 6 0 0 0 0 0 3 0 6 3 6 6 6 6 3 6 3 6 6 6 3 0 6 6 0 3 3 6 3 0 3 3 6 3 3 6 3 3 6 3 0 6 3 6 6 6 6 3 3 0 3 0 6 0 6 0 0 0 3 0 6 0 0 3 6 3 0 0 6 6 3 6 0 0 3 0 0 0 0 3 0 6 3 6 6 0 6 3 0 3 0 3 0 3 3 0 0 0 6 0 6 0 3 6 0 3 3 0 0 3 3 3 3 0 3 6 6 6 3 0 3 0 3 3 3 6 3 6 3 0 6 6 0 0 3 0 3 3 3 6 3 3 3 0 6 0 6 3 0 0 3 6 0 0 0 0 0 0 6 6 0 3 6 0 0 6 6 3 3 6 6 0 3 0 0 0 6 6 6 6 0 3 6 6 6 6 6 0 0 3 3 6 3 6 0 3 6 0 6 6 0 0 3 6 0 3 0 3 3 0 0 0 6 3 3 6 3 0 0 3 0 0 3 6 3 0 3 3 6 6 3 generates a code of length 78 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 142. Homogenous weight enumerator: w(x)=1x^0+30x^142+96x^143+80x^144+162x^145+258x^146+122x^147+276x^148+348x^149+434x^150+378x^151+894x^152+2040x^153+468x^154+2358x^155+3972x^156+588x^157+2394x^158+2636x^159+534x^160+366x^161+34x^162+258x^163+336x^164+32x^165+108x^166+174x^167+30x^168+78x^169+48x^170+26x^171+30x^172+18x^173+12x^174+20x^177+6x^178+4x^180+14x^183+10x^186+2x^189+6x^192+2x^204 The gray image is a code over GF(3) with n=702, k=9 and d=426. This code was found by Heurico 1.16 in 93.7 seconds.