The generator matrix 1 0 1 1 1 1 1 21 1 1 24 1 1 1 0 1 24 1 21 1 1 0 1 1 24 1 1 1 1 1 1 24 1 0 0 1 7 26 21 4 20 1 19 24 1 23 26 0 1 16 1 24 1 23 20 1 21 20 1 26 26 4 23 16 23 1 21 1 0 0 9 0 0 0 18 9 18 9 9 9 9 9 18 0 18 0 9 0 18 9 18 0 18 0 18 0 9 18 18 9 18 9 0 0 0 9 0 9 9 9 18 18 0 18 9 0 9 18 0 9 9 0 0 9 9 18 0 18 9 0 18 0 0 18 9 9 0 0 0 0 18 18 0 18 18 9 18 18 0 18 18 18 18 9 9 9 18 0 9 9 0 0 9 0 0 9 0 9 0 0 generates a code of length 34 over Z27 who´s minimum homogenous weight is 60. Homogenous weight enumerator: w(x)=1x^0+226x^60+84x^61+234x^62+868x^63+714x^64+1044x^65+2300x^66+2700x^67+2106x^68+3454x^69+2700x^70+1440x^71+1504x^72+78x^73+36x^74+106x^75+36x^76+22x^78+6x^79+12x^81+4x^84+6x^87+2x^93 The gray image is a code over GF(3) with n=306, k=9 and d=180. This code was found by Heurico 1.16 in 0.53 seconds.