The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 3 3 3 0 3 0 0 24 21 15 3 24 9 3 18 24 9 21 21 6 24 9 24 9 21 21 18 15 6 12 3 24 3 21 0 0 3 24 9 6 21 3 6 18 3 21 0 15 6 18 12 6 18 24 3 18 24 0 0 18 3 12 18 21 15 0 0 0 9 0 0 18 9 18 18 18 18 9 18 18 18 9 9 9 0 9 9 9 0 18 18 0 9 0 0 9 generates a code of length 31 over Z27 who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+288x^56+174x^57+108x^58+594x^59+504x^60+432x^61+2226x^62+816x^63+432x^64+486x^65+114x^66+198x^68+90x^69+96x^71+2x^81 The gray image is a code over GF(3) with n=279, k=8 and d=168. This code was found by Heurico 1.16 in 0.353 seconds.