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 1 1 1 1 1 1 1 1 1 1 1 1 1 X X 0 6 0 0 0 0 0 3 6 3 0 6 6 6 6 6 6 0 0 6 0 6 6 0 6 0 3 0 0 3 0 6 6 0 6 6 0 6 6 0 0 0 6 6 3 3 3 3 3 3 6 3 0 3 3 3 3 0 6 0 6 3 3 6 6 0 0 6 0 0 0 6 3 3 0 6 6 3 3 0 6 0 0 6 6 6 6 0 0 3 6 6 0 6 0 3 6 6 3 3 0 0 3 0 6 0 6 3 0 6 3 6 3 6 3 3 3 3 0 3 0 0 3 6 3 3 6 3 0 0 0 0 0 6 0 6 3 0 3 0 0 6 6 3 3 0 6 3 3 3 6 6 3 3 6 0 6 3 3 6 0 0 3 6 0 6 6 0 0 6 0 6 6 0 3 3 3 3 0 0 3 0 0 0 6 3 3 3 6 3 0 3 6 3 0 0 0 0 0 6 3 3 3 3 6 3 3 3 0 6 3 0 6 6 0 6 0 3 0 6 6 6 3 0 3 3 6 6 0 0 6 6 6 3 3 3 0 0 6 6 3 0 0 0 0 6 6 0 0 6 0 6 0 6 6 3 3 3 3 0 generates a code of length 65 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 126. Homogenous weight enumerator: w(x)=1x^0+204x^126+216x^129+1458x^130+216x^132+72x^135+18x^144+2x^189 The gray image is a code over GF(3) with n=585, k=7 and d=378. This code was found by Heurico 1.16 in 0.354 seconds.