The generator matrix 1 0 1 1 1 1 1 X+3 1 1 1 2X 1 1 1 1 0 1 1 2X 1 1 1 X+3 1 1 1 1 1 1 1 1 1 6 X+6 2X+6 1 1 1 1 1 1 6 X+6 1 1 1 2X+6 1 1 1 X+6 1 1 1 1 1 1 1 1 X+3 X 1 0 1 2X+4 8 X+1 X+3 X+2 1 2X 4 2X+8 1 0 2X+4 8 2X 1 X+1 X+2 1 X+3 4 2X+8 1 6 X+6 2X+7 X+7 2X+6 7 5 X+5 2X+5 1 1 1 6 X+6 2X+7 X+7 5 X+5 1 1 2X+6 7 2X+5 1 X+5 6 X+7 1 X+3 2X+3 0 X+6 X+1 2X+4 2X+7 X+2 1 3 2X+1 0 0 3 0 6 3 6 6 6 0 3 3 6 6 3 3 6 0 0 0 0 3 6 3 3 6 0 3 0 6 6 3 0 3 0 6 6 0 6 0 0 6 6 3 6 0 6 3 0 0 6 6 6 0 3 3 3 0 3 3 0 6 3 generates a code of length 63 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 123. Homogenous weight enumerator: w(x)=1x^0+250x^123+702x^124+456x^126+360x^127+96x^129+198x^130+80x^132+36x^133+4x^135+4x^144 The gray image is a code over GF(3) with n=567, k=7 and d=369. This code was found by Heurico 1.16 in 4.06 seconds.