The generator matrix 1 0 1 1 1 1 1 18 1 1 1 1 1 1 15 1 0 1 1 26 0 17 25 1 3 21 24 16 23 0 1 0 0 0 24 0 21 21 3 21 3 18 0 18 24 24 21 18 0 0 0 9 0 18 9 18 9 9 0 18 18 18 18 0 0 0 0 0 18 18 9 9 0 18 18 9 9 18 18 0 generates a code of length 16 over Z27 who´s minimum homogenous weight is 24. Homogenous weight enumerator: w(x)=1x^0+156x^24+90x^25+246x^26+500x^27+2184x^28+1230x^29+6666x^30+9210x^31+14382x^32+12876x^33+8694x^34+1554x^35+804x^36+228x^37+84x^38+120x^39+6x^40+18x^42 The gray image is a code over GF(3) with n=144, k=10 and d=72. This code was found by Heurico 1.16 in 1.46 seconds.