The generator matrix 1 0 1 1 1 1 1 21 1 1 24 1 1 1 1 1 1 1 1 0 1 24 1 21 1 1 1 1 1 1 3 1 1 0 1 7 26 21 4 20 1 19 24 1 23 26 16 0 20 19 23 4 1 20 1 23 1 21 24 21 4 19 21 21 23 16 0 0 9 0 0 0 18 9 18 9 9 9 9 9 18 9 0 0 18 0 18 18 9 18 18 18 18 18 18 0 18 0 9 0 0 0 9 0 9 9 9 18 18 0 18 0 9 9 18 0 9 18 9 9 18 0 18 18 18 0 9 9 9 0 0 0 0 0 0 0 18 18 0 18 18 9 18 18 9 0 9 0 9 9 9 9 18 0 0 18 18 0 9 0 18 18 0 18 18 generates a code of length 33 over Z27 who´s minimum homogenous weight is 58. Homogenous weight enumerator: w(x)=1x^0+210x^58+242x^60+912x^61+972x^62+488x^63+2472x^64+3888x^65+648x^66+3306x^67+3888x^68+710x^69+1698x^70+70x^72+138x^73+12x^76+14x^78+6x^81+6x^87+2x^90 The gray image is a code over GF(3) with n=297, k=9 and d=174. This code was found by Heurico 1.16 in 7.96 seconds.