The generator matrix 1 0 0 0 0 1 1 1 3 6 1 1 3 1 1 0 1 0 0 0 6 1 7 1 1 8 4 1 7 0 0 0 1 0 0 7 1 8 7 4 3 4 3 8 3 0 0 0 1 0 5 3 2 7 6 0 8 4 1 6 0 0 0 0 1 5 6 8 3 7 1 5 2 6 0 generates a code of length 15 over Z9 who´s minimum homogenous weight is 20. Homogenous weight enumerator: w(x)=1x^0+174x^20+156x^21+600x^22+1110x^23+864x^24+2082x^25+3312x^26+3244x^27+6246x^28+7164x^29+6258x^30+8454x^31+7134x^32+4152x^33+4056x^34+2718x^35+614x^36+432x^37+258x^38+12x^39+6x^42+2x^45 The gray image is a code over GF(3) with n=45, k=10 and d=20. This code was found by Heurico 1.13 in 2.19 seconds.