The generator matrix 1 0 1 1 1 1 1 X+6 1 1 1 2X 1 1 1 1 0 1 1 2X 1 1 1 X+6 1 1 1 1 1 1 1 1 1 3 X+3 2X+3 1 1 1 1 1 1 3 X+3 1 1 1 2X+3 1 1 1 X+3 1 1 1 1 1 1 1 1 1 X+6 X 1 0 1 2X+7 8 X+1 X+6 X+5 1 2X 7 2X+8 1 0 2X+7 8 2X 1 X+1 X+5 1 X+6 7 2X+8 1 3 X+3 2X+3 2X+4 X+4 4 2 X+2 2X+2 1 1 1 3 X+3 2X+4 X+4 2 X+2 1 1 2X+3 4 2X+2 1 X+2 3 X+4 1 X+6 2X 0 X+3 2 8 X+5 2X+5 X+1 1 2X+6 2X+3 0 0 6 0 3 6 3 3 3 0 6 6 3 3 6 6 3 0 0 0 0 6 3 6 6 3 0 0 6 3 3 6 0 6 0 3 3 0 3 0 0 3 3 6 3 0 3 6 0 0 3 3 3 0 6 6 6 3 6 0 6 0 3 6 generates a code of length 64 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 125. Homogenous weight enumerator: w(x)=1x^0+294x^125+562x^126+654x^128+300x^129+78x^131+144x^132+108x^134+40x^135+2x^138+4x^147 The gray image is a code over GF(3) with n=576, k=7 and d=375. This code was found by Heurico 1.16 in 0.611 seconds.