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 X 1 1 X 1 1 1 1 1 1 1 X 1 1 1 1 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 0 6 6 6 3 6 6 6 0 0 0 3 3 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 3 3 3 6 6 6 6 0 0 0 3 3 0 6 0 3 3 3 6 6 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 0 3 3 3 6 3 6 0 6 6 0 3 0 3 6 3 6 6 3 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 3 0 6 3 3 3 3 0 6 0 0 0 6 0 3 3 6 3 0 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 6 0 3 6 0 6 0 3 3 0 3 3 3 6 3 6 0 3 3 0 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 0 6 6 6 6 6 0 0 6 3 3 3 3 3 0 3 6 3 0 0 generates a code of length 47 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+86x^78+184x^81+216x^84+208x^87+162x^88+252x^90+972x^91+238x^93+15066x^94+216x^96+1296x^97+188x^99+202x^102+158x^105+96x^108+94x^111+32x^114+8x^117+6x^120+2x^132 The gray image is a code over GF(3) with n=423, k=9 and d=234. This code was found by Heurico 1.16 in 2.28 seconds.