The generator matrix 1 0 1 1 1 1 1 X+6 1 2X 1 1 1 1 0 1 2X 1 1 1 X+6 1 1 1 1 1 0 1 1 1 X+6 1 1 2X 1 1 1 1 1 1 1 X+6 1 X+6 1 1 0 1 2X 1 1 1 X+3 1 1 2X 1 1 1 1 1 0 X 1 1 1 1 1 1 1 3 1 1 2X+3 1 1 1 1 0 1 2X+7 8 X+6 X+1 X+5 1 7 1 2X 2X+8 8 0 1 2X+7 1 X+1 X+5 X+6 1 2X 7 2X+8 X+6 8 1 2X+7 2X+8 7 1 X+1 0 1 X+5 2X X+1 0 8 2X+8 X+6 1 X+6 1 2X+8 2X+7 1 2X+7 1 X+5 X+4 2X+3 1 0 2X 1 2 2X X+3 8 2X+3 1 1 X+3 2X+2 X+5 X+2 2X+4 X+3 7 1 2X+7 7 1 2X+6 X+5 2X+8 2X+7 0 0 6 0 0 0 6 6 3 6 6 0 3 0 3 0 3 3 3 3 0 6 3 3 6 3 0 0 6 3 0 3 0 6 3 6 3 6 6 3 0 6 6 3 6 6 0 6 6 3 3 6 3 6 0 0 0 0 0 3 6 3 6 0 3 6 0 0 0 0 0 3 0 0 3 3 6 6 0 0 0 3 0 0 6 6 0 3 0 3 0 3 6 6 3 3 6 3 0 3 6 0 6 6 6 0 3 6 3 0 6 6 3 3 3 3 3 0 3 0 6 3 3 6 0 6 0 6 0 0 6 0 3 3 0 0 3 3 0 0 6 6 0 3 6 3 6 0 3 6 0 6 0 6 3 3 0 0 0 0 6 0 3 6 6 6 6 6 3 6 0 6 0 0 6 6 6 6 0 0 0 0 6 3 3 6 6 0 0 6 3 3 3 6 6 6 0 3 0 6 0 0 3 0 3 6 3 0 3 0 3 0 0 3 0 0 3 3 3 6 3 3 6 3 3 0 0 0 6 3 0 0 6 6 0 0 0 0 0 3 0 6 6 3 0 3 3 0 0 3 6 3 0 0 3 3 3 3 0 0 6 0 3 3 3 6 3 3 3 6 0 6 0 3 3 0 6 6 6 3 3 0 3 6 3 6 3 3 0 6 3 3 6 0 0 0 6 6 6 0 3 3 3 0 3 6 3 0 0 3 3 0 generates a code of length 78 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 142. Homogenous weight enumerator: w(x)=1x^0+24x^142+48x^143+258x^144+120x^145+342x^146+596x^147+786x^148+1806x^149+1484x^150+1740x^151+4596x^152+3536x^153+3660x^154+7764x^155+4678x^156+4182x^157+8502x^158+4158x^159+3066x^160+3912x^161+1556x^162+864x^163+636x^164+258x^165+108x^166+60x^167+114x^168+30x^169+30x^170+54x^171+6x^173+14x^174+16x^177+16x^180+14x^183+6x^186+6x^189+2x^201 The gray image is a code over GF(3) with n=702, k=10 and d=426. This code was found by Heurico 1.16 in 93.8 seconds.