The generator matrix 1 0 1 1 1 1 1 21 1 1 1 24 1 1 1 9 1 1 1 12 1 1 1 6 1 1 1 1 1 1 1 0 1 16 26 21 4 20 1 24 19 23 1 9 7 8 1 12 13 11 1 6 10 5 1 18 3 25 22 15 17 2 generates a code of length 31 over Z27 who´s minimum homogenous weight is 61. Homogenous weight enumerator: w(x)=1x^0+204x^61+414x^62+102x^64+2x^66+4x^69+2x^75 The gray image is a code over GF(3) with n=279, k=6 and d=183. This code was found by Heurico 1.16 in 0.00446 seconds.