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 3 1 1 1 1 1 18 0 0 3 0 9 24 21 3 15 24 9 9 15 18 12 9 24 15 24 3 12 0 12 3 12 24 21 0 6 15 3 3 3 0 0 3 15 9 6 3 21 15 0 6 18 21 24 18 24 24 0 24 9 12 21 12 12 9 0 24 15 9 9 21 6 generates a code of length 32 over Z27 who´s minimum homogenous weight is 60. Homogenous weight enumerator: w(x)=1x^0+128x^60+240x^61+162x^62+300x^63+606x^64+324x^65+240x^66+36x^67+38x^69+66x^70+20x^72+24x^73+2x^87 The gray image is a code over GF(3) with n=288, k=7 and d=180. This code was found by Heurico 1.16 in 0.0269 seconds.