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 3 1 1 0 1 3 1 3 1 0 3 0 0 0 18 9 21 3 24 6 24 24 24 15 3 15 24 6 12 9 21 21 12 0 3 9 15 24 24 0 0 0 3 0 9 21 21 15 12 12 15 3 15 18 24 15 0 3 18 24 6 18 24 18 24 12 0 9 3 0 0 0 0 0 3 15 15 21 6 18 9 15 12 12 0 18 3 3 24 15 9 0 15 6 3 3 12 3 21 6 0 15 generates a code of length 31 over Z27 who´s minimum homogenous weight is 54. Homogenous weight enumerator: w(x)=1x^0+474x^54+54x^56+1260x^57+324x^58+162x^59+3726x^60+1296x^61+2430x^62+6162x^63+1296x^64+270x^65+1524x^66+576x^69+120x^72+6x^75+2x^81 The gray image is a code over GF(3) with n=279, k=9 and d=162. This code was found by Heurico 1.16 in 1.06 seconds.