The generator matrix 1 0 0 1 1 1 15 1 1 1 3 1 21 0 1 1 0 1 0 1 15 26 1 19 20 18 1 3 1 1 15 0 0 0 1 26 16 26 22 19 21 20 23 2 22 25 5 0 0 0 0 24 15 9 3 21 3 6 12 18 0 6 3 0 generates a code of length 16 over Z27 who´s minimum homogenous weight is 24. Homogenous weight enumerator: w(x)=1x^0+354x^24+162x^25+2034x^26+1892x^27+5868x^28+7902x^29+19728x^30+17226x^31+48330x^32+38112x^33+20196x^34+11466x^35+3228x^36+288x^37+252x^38+108x^39 The gray image is a code over GF(3) with n=144, k=11 and d=72. This code was found by Heurico 1.16 in 10.4 seconds.