The generator matrix 1 0 0 1 1 1 1 1 24 1 1 1 1 1 1 3 0 1 0 7 15 26 19 2 1 16 26 1 23 23 22 3 0 0 1 14 16 26 22 3 26 15 24 25 4 23 1 1 0 0 0 9 0 9 18 18 0 18 0 9 9 18 0 18 generates a code of length 16 over Z27 who´s minimum homogenous weight is 26. Homogenous weight enumerator: w(x)=1x^0+438x^26+538x^27+2058x^28+2526x^29+6422x^30+7920x^31+14580x^32+12470x^33+7956x^34+3306x^35+694x^36+48x^37+48x^38+40x^39+4x^42 The gray image is a code over GF(3) with n=144, k=10 and d=78. This code was found by Heurico 1.16 in 1.27 seconds.