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 X 1 X 1 X X 1 1 1 1 X X 1 1 1 0 6 0 0 0 0 0 0 0 0 0 0 0 3 6 6 3 3 3 3 0 6 3 3 6 0 6 6 6 6 0 6 6 6 6 0 3 6 3 0 6 0 0 0 6 0 0 0 0 0 0 0 0 6 6 0 0 6 6 3 0 3 3 3 6 3 6 6 6 0 3 3 6 3 6 0 6 6 6 3 6 6 0 3 0 0 0 6 0 0 0 0 6 3 3 3 6 0 0 0 6 6 3 0 3 6 6 6 0 6 3 3 3 0 3 3 3 0 3 6 0 0 3 0 0 0 0 0 0 0 6 0 0 6 3 0 3 0 6 0 3 6 3 6 6 0 0 0 6 3 6 0 6 0 6 0 3 0 3 6 3 3 3 6 0 3 3 0 0 0 0 0 0 6 0 3 3 6 0 3 6 3 0 3 0 6 3 3 0 3 6 6 0 3 0 0 3 0 6 0 0 3 0 6 0 3 3 6 0 3 0 0 0 0 0 0 6 3 3 3 3 3 3 6 3 6 0 0 6 0 6 6 6 6 6 6 3 6 6 6 6 6 6 6 0 6 0 3 0 0 0 0 generates a code of length 42 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 69. Homogenous weight enumerator: w(x)=1x^0+114x^69+192x^72+310x^75+608x^78+1124x^81+14896x^84+1336x^87+580x^90+220x^93+142x^96+70x^99+72x^102+14x^105+4x^108 The gray image is a code over GF(3) with n=378, k=9 and d=207. This code was found by Heurico 1.16 in 2.08 seconds.