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 X+6 1 1 X+6 1 1 0 2X 1 1 1 1 X+6 1 1 1 1 1 1 1 1 1 1 1 1 2X 1 1 2X+3 1 1 1 1 X+3 1 1 1 1 2X 0 X 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+8 7 2X 8 2X+7 1 0 1 X+5 2X+8 1 2X 7 1 1 2X+8 X+6 X+1 8 1 X+6 2X+8 X+1 X+5 2 2X 8 0 7 2X X+1 2X+2 1 2 X+5 1 7 2X+2 0 3 1 X+2 X+6 4 2X+3 1 1 0 0 0 6 0 0 0 6 6 3 6 6 0 3 0 3 0 3 3 3 6 0 0 6 6 6 0 0 3 3 6 0 3 6 6 3 0 3 6 3 0 3 0 3 3 6 0 0 3 0 3 6 6 6 0 0 3 0 0 0 6 3 0 6 0 6 3 0 6 6 0 0 0 3 0 0 6 6 0 3 0 3 0 3 6 6 3 3 6 0 0 6 0 3 3 3 3 3 0 6 0 6 3 6 6 3 3 3 6 3 3 3 3 0 0 0 6 6 6 6 3 3 6 0 3 0 6 6 6 0 0 3 0 0 3 0 3 3 6 0 0 0 0 6 0 3 6 6 6 6 6 3 6 0 6 0 0 6 3 6 0 6 6 0 0 6 6 6 3 3 6 0 0 3 6 6 0 0 3 0 3 3 0 0 0 3 3 6 3 3 3 6 0 3 6 0 3 6 6 0 0 3 3 6 3 0 3 6 0 0 0 0 0 3 0 6 6 3 0 3 3 0 0 3 6 3 0 3 3 3 3 3 3 3 3 0 3 3 0 0 0 6 3 0 0 6 0 3 3 6 0 3 0 3 6 3 6 6 0 6 6 3 6 3 6 3 6 6 0 0 3 6 3 6 6 0 0 generates a code of length 69 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 126. Homogenous weight enumerator: w(x)=1x^0+258x^126+90x^127+36x^128+1156x^129+720x^130+360x^131+2678x^132+2394x^133+1440x^134+6794x^135+4104x^136+2880x^137+10146x^138+5598x^139+2880x^140+8274x^141+3600x^142+1152x^143+2748x^144+990x^145+404x^147+220x^150+52x^153+22x^156+18x^159+16x^162+8x^165+2x^168+4x^171+4x^177 The gray image is a code over GF(3) with n=621, k=10 and d=378. This code was found by Heurico 1.16 in 24.7 seconds.