The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 3 24 0 21 24 9 21 6 9 12 6 9 12 0 12 0 0 9 9 18 18 18 9 0 9 0 9 0 9 18 18 generates a code of length 16 over Z27 who´s minimum homogenous weight is 29. Homogenous weight enumerator: w(x)=1x^0+30x^29+40x^30+594x^32+24x^33+18x^35+14x^36+6x^38+2x^48 The gray image is a code over GF(3) with n=144, k=6 and d=87. This code was found by Heurico 1.16 in 0.00164 seconds.