The generator matrix 1 0 1 1 1 1 1 21 1 1 1 24 0 1 1 1 1 1 21 1 1 1 1 1 1 1 24 1 24 1 1 1 1 0 1 7 26 21 4 20 1 24 19 23 1 1 21 16 26 0 4 1 20 19 0 23 24 21 16 1 23 1 19 23 26 0 0 0 9 0 0 0 18 18 9 9 9 0 9 9 18 0 9 0 9 9 18 0 9 0 18 18 0 0 9 9 18 18 0 0 0 0 9 0 0 18 18 18 0 9 18 18 18 0 0 18 9 18 0 18 0 18 18 0 0 0 18 18 9 18 0 0 0 0 0 0 18 0 18 9 9 18 18 18 0 0 9 9 0 0 18 0 18 9 18 18 18 0 18 0 0 0 9 9 0 0 0 0 0 0 9 18 0 18 18 18 9 9 18 18 0 0 18 9 18 0 9 0 18 18 0 9 0 18 18 18 9 9 generates a code of length 33 over Z27 who´s minimum homogenous weight is 54. Homogenous weight enumerator: w(x)=1x^0+46x^54+24x^56+220x^57+192x^58+120x^59+1270x^60+1002x^61+2676x^62+5520x^63+3036x^64+10080x^65+10504x^66+3858x^67+10140x^68+7322x^69+2022x^70+240x^71+426x^72+96x^73+48x^74+124x^75+44x^78+28x^81+6x^84+4x^87 The gray image is a code over GF(3) with n=297, k=10 and d=162. This code was found by Heurico 1.16 in 4.2 seconds.