The generator matrix 1 0 1 1 1 1 18 1 1 1 1 3 1 0 1 1 26 18 16 1 3 4 1 2 24 21 0 0 24 0 21 18 21 12 18 12 3 24 6 0 0 0 9 9 0 18 18 9 0 9 18 9 generates a code of length 13 over Z27 who´s minimum homogenous weight is 20. Homogenous weight enumerator: w(x)=1x^0+108x^20+40x^21+936x^22+648x^23+2008x^24+2808x^25+5184x^26+3966x^27+2916x^28+864x^29+50x^30+144x^31+8x^33+2x^36 The gray image is a code over GF(3) with n=117, k=9 and d=60. This code was found by Heurico 1.16 in 0.141 seconds.