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 3 1 1 3 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 0 9 0 0 0 0 0 0 0 0 0 0 0 18 9 9 18 18 18 18 0 9 18 18 9 0 9 9 9 9 0 9 0 9 9 9 18 9 9 9 0 0 0 18 18 9 0 0 0 9 0 0 0 0 0 0 0 0 9 9 0 0 9 9 18 0 18 18 18 9 18 9 9 9 18 18 18 9 9 9 9 0 0 0 18 18 0 9 0 18 18 18 9 9 0 0 0 9 0 0 0 0 9 18 18 18 9 0 0 0 9 9 18 0 18 9 9 9 0 9 18 18 0 18 18 18 9 18 9 0 9 9 0 18 0 18 9 18 9 9 18 0 0 0 0 9 0 0 9 18 0 18 0 9 0 18 9 18 9 9 0 0 0 9 18 9 0 9 18 0 9 18 18 18 18 0 9 0 0 0 9 0 18 18 9 18 0 0 0 0 0 0 0 9 0 18 18 9 0 18 9 18 0 18 0 9 18 18 0 18 9 9 0 18 0 9 0 18 9 0 9 0 18 18 0 18 18 18 9 18 9 0 18 18 0 0 0 0 0 0 0 9 18 18 18 18 18 18 9 18 9 0 0 9 0 9 9 9 9 9 9 18 0 9 9 9 9 9 0 0 9 18 18 18 18 18 0 18 9 18 0 0 generates a code of length 47 over Z27 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 2.21 seconds.