The generator matrix 1 0 1 1 1 1 1 18 1 1 21 1 1 3 1 1 1 1 0 1 1 1 1 1 21 1 1 1 24 1 1 1 1 1 1 1 1 1 0 1 1 26 7 18 17 1 25 20 1 3 20 1 4 21 0 16 1 26 24 1 19 24 1 1 15 23 1 25 19 4 9 4 13 0 2 0 0 0 24 0 0 21 21 21 3 15 9 3 0 12 9 18 6 6 6 15 15 3 0 15 15 21 3 6 9 6 9 9 18 15 0 24 12 18 0 0 0 9 0 18 9 9 9 0 0 0 9 18 9 0 9 9 0 9 18 18 18 18 18 0 9 0 18 0 9 0 18 18 18 9 9 9 0 0 0 0 9 0 0 9 9 18 9 0 9 9 0 9 9 0 18 9 18 18 9 9 9 18 18 9 18 18 18 0 9 9 9 18 9 0 generates a code of length 38 over Z27 who´s minimum homogenous weight is 66. Homogenous weight enumerator: w(x)=1x^0+56x^66+144x^67+282x^68+722x^69+1032x^70+1608x^71+2704x^72+4188x^73+5658x^74+8132x^75+7566x^76+8226x^77+8206x^78+5532x^79+2982x^80+920x^81+366x^82+174x^83+298x^84+84x^85+24x^86+72x^87+42x^88+20x^90+10x^93 The gray image is a code over GF(3) with n=342, k=10 and d=198. This code was found by Heurico 1.16 in 4.99 seconds.