The generator matrix 1 0 0 1 1 1 1 1 1 1 6 1 2X+3 1 1 1 1 1 1 1 1 X 1 2X+6 1 3 6 X+6 1 1 1 1 1 3 2X+3 1 1 3 1 2X+6 1 1 1 1 1 1 1 1 2X+3 1 1 2X+6 1 X+6 1 X 1 X+6 1 1 1 1 6 1 1 1 1 0 1 0 0 6 2X+4 2X+1 X+8 X+4 X+5 1 8 1 X+3 2X+1 2 3 2X 2X+2 X+4 X+5 1 2X+5 1 2X+4 X 1 1 2X+2 8 X+3 2X X+6 2X+6 1 1 3 1 X+6 1 7 2 2X+5 3 4 X+3 4 X+2 1 X+8 7 6 7 1 2X+1 1 2X+7 2X+3 X+2 3 X+6 X+6 1 2X+5 3 X+8 2X+5 0 0 1 2X+4 2 5 2X+1 X X+3 X+2 2X+2 X+1 4 3 X X+3 X+1 2X+8 2X+4 8 8 7 3 X+5 1 1 2X+6 X+2 X+7 X+2 2X+2 0 2X+1 1 X+7 X X+8 2 2X+3 2X+4 2X+8 7 2X+8 2X+5 X+8 X+8 4 2X+6 X+7 2X+8 2X+7 1 6 X+1 X+2 2X 2X+8 1 7 3 X+8 2X+3 6 X+7 2X 2X+7 X+4 0 0 0 3 3 3 3 3 3 3 0 3 0 3 0 0 0 0 0 0 6 3 6 3 6 6 6 6 6 0 6 6 6 3 6 6 3 6 0 0 6 3 0 6 0 3 3 6 3 3 6 0 0 3 0 3 3 0 0 6 0 6 6 3 0 6 6 generates a code of length 67 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 126. Homogenous weight enumerator: w(x)=1x^0+890x^126+1188x^127+2178x^128+4014x^129+3132x^130+4932x^131+5338x^132+4644x^133+6282x^134+6158x^135+4014x^136+4950x^137+4380x^138+2376x^139+1872x^140+1470x^141+648x^142+198x^143+234x^144+36x^145+66x^147+30x^150+16x^153+2x^159 The gray image is a code over GF(3) with n=603, k=10 and d=378. This code was found by Heurico 1.16 in 9.79 seconds.