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 X X X X X X X X X X 1 X 1 1 1 X 1 X X 3 1 X 0 3 0 0 0 0 3 6 6 0 0 3 3 3 3 3 3 3 0 6 0 6 0 6 0 3 6 3 6 6 0 0 6 3 0 3 3 3 3 0 0 0 3 0 3 0 3 3 3 3 3 6 6 3 3 0 0 6 6 6 0 0 0 3 3 3 0 0 0 3 0 0 3 6 0 6 0 3 3 6 6 0 3 0 3 3 3 3 0 0 6 6 3 3 6 0 6 0 3 3 0 6 6 0 3 0 6 6 6 3 6 6 0 6 6 3 3 0 3 6 0 0 0 3 0 0 6 3 0 3 3 3 6 0 0 0 0 3 0 6 6 3 0 3 3 0 0 3 6 3 3 6 6 0 0 6 6 6 6 6 3 3 0 3 6 3 6 6 3 6 3 0 0 0 3 0 3 6 0 0 6 3 0 6 6 0 6 3 0 0 0 0 6 3 0 3 6 6 0 6 3 0 0 0 0 3 6 6 6 6 6 0 6 0 0 6 6 0 3 0 0 6 6 3 6 3 6 0 6 0 0 6 6 3 0 0 0 6 0 3 3 6 6 3 0 3 3 6 3 3 6 0 3 3 3 3 6 6 6 0 3 0 3 0 0 3 3 0 generates a code of length 67 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 126. Homogenous weight enumerator: w(x)=1x^0+80x^126+164x^129+624x^132+1096x^135+92x^138+70x^141+26x^144+14x^147+4x^150+6x^153+4x^159+6x^162 The gray image is a code over GF(3) with n=603, k=7 and d=378. This code was found by Heurico 1.16 in 0.143 seconds.