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 1 1 1 1 1 1 1 1 1 0 1 1 1 1 X 1 1 0 1 1 0 1 6 1 1 0 X 0 0 2X X+3 X 2X+3 2X 6 3 X+3 X+3 2X+3 2X 3 X+6 2X+3 X X+3 X 2X 6 2X+6 0 X+3 2X+3 X X 3 3 6 2X 3 2X+6 2X 2X+6 X X+3 2X+3 2X+6 X+3 X+3 2X+3 0 0 3 0 2X+3 X X X+6 3 3 0 2X 3 6 X 0 2X+3 X 3 X 2X+6 2X+6 0 0 X 2X 6 2X+3 X X+3 2X+6 2X+3 0 2X+3 6 2X 6 X X X+6 2X 0 X+6 2X 2X+3 X+6 X+6 0 3 2X+3 X 0 2X+3 6 X+6 X 3 X+6 2X+6 X+6 2X 6 2X 3 2X+6 X 2X 2X+6 3 6 0 6 2X+3 X+3 2X+3 X+6 X 2X+6 3 X+6 6 6 2X+3 2X+6 6 2X+3 2X+3 0 0 0 0 6 0 0 0 0 0 0 3 6 3 6 3 3 6 3 3 6 3 3 3 6 6 3 6 3 3 6 6 0 3 6 3 6 3 0 6 6 3 6 0 0 0 3 3 6 0 0 0 6 0 0 3 0 6 0 3 0 0 3 6 6 6 0 generates a code of length 66 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 125. Homogenous weight enumerator: w(x)=1x^0+216x^125+282x^126+108x^127+444x^128+158x^129+648x^130+462x^131+1870x^132+972x^133+480x^134+210x^135+216x^136+168x^137+32x^138+60x^140+20x^141+54x^143+92x^144+54x^146+6x^147+6x^152+2x^183 The gray image is a code over GF(3) with n=594, k=8 and d=375. This code was found by Heurico 1.16 in 1.14 seconds.