The generator matrix 1 0 1 1 1 1 1 X+6 1 2X 1 1 1 1 0 1 1 X+6 1 1 2X 1 1 1 1 1 1 1 0 1 1 1 2X 1 1 1 1 X+6 1 0 1 1 1 2X 1 1 1 0 1 1 1 1 1 1 1 1 1 1 2X 1 1 1 2X+3 3 1 1 X+6 1 1 1 1 1 1 1 X+6 1 X+3 1 1 0 1 2X+7 8 X+6 X+1 X+5 1 7 1 2X 2X+8 8 0 1 2X+7 X+5 1 X+1 X+6 1 7 2X 2X+8 X+1 8 X+6 2X+8 1 7 X+5 0 1 2X+7 2X 2 7 1 X+6 1 2X+7 2X X+5 1 X+1 X+2 X+6 1 8 2X+8 X+5 X+1 X+3 2X 2X+4 2X+3 4 0 1 8 2X+8 2X+7 1 1 7 0 1 X+4 X+2 3 8 4 2X+2 2X 1 2X+2 1 2 0 0 0 6 0 0 0 6 6 3 6 6 0 3 0 3 3 3 0 6 0 0 3 6 0 3 3 6 3 0 3 3 0 3 3 3 0 3 6 0 3 0 0 3 3 0 0 3 3 0 6 3 3 0 3 6 6 3 6 6 3 6 0 6 3 0 0 6 0 3 6 6 0 3 6 0 6 0 6 0 0 0 0 3 0 0 6 6 0 3 0 3 0 3 6 6 0 6 0 6 3 3 6 3 6 3 6 6 3 3 3 0 6 3 0 0 3 0 3 0 3 0 3 0 0 6 6 0 3 0 6 0 3 6 3 6 6 3 0 3 6 6 6 0 6 6 0 6 3 6 0 3 0 0 3 0 3 6 0 0 0 0 0 6 0 3 6 6 6 6 6 3 6 0 0 0 6 3 0 3 6 6 0 6 6 0 6 6 3 0 3 3 0 6 6 3 3 3 3 3 0 3 0 3 3 3 3 3 0 3 3 6 0 3 3 0 6 0 0 6 6 0 0 3 0 6 3 6 0 3 0 6 6 6 3 3 0 0 0 0 0 0 0 3 0 6 6 3 0 3 3 0 0 3 3 6 3 3 6 3 6 6 3 6 0 0 3 0 0 6 0 3 0 6 6 0 3 6 6 6 3 0 0 0 3 3 6 6 6 0 6 6 0 0 0 3 6 6 3 0 6 3 6 6 6 0 3 3 6 6 0 6 0 0 6 6 3 generates a code of length 79 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 144. Homogenous weight enumerator: w(x)=1x^0+62x^144+24x^145+24x^146+414x^147+168x^148+720x^149+1380x^150+552x^151+2280x^152+3300x^153+1080x^154+5760x^155+5748x^156+1116x^157+9222x^158+7698x^159+1554x^160+6984x^161+4814x^162+966x^163+2580x^164+1640x^165+282x^166+102x^167+248x^168+54x^169+24x^170+104x^171+36x^172+6x^173+24x^174+26x^177+18x^180+18x^183+8x^186+6x^189+4x^192+2x^198 The gray image is a code over GF(3) with n=711, k=10 and d=432. This code was found by Heurico 1.16 in 12.4 seconds.