The generator matrix 1 0 0 1 1 1 1 1 24 1 1 1 15 1 1 12 3 21 1 1 9 1 1 1 1 1 24 9 3 1 1 1 1 1 0 1 0 1 15 17 1 17 1 23 10 21 1 4 12 9 1 1 24 12 1 20 4 26 13 20 12 1 1 20 15 4 25 18 0 0 1 26 16 20 1 21 4 25 21 17 5 26 6 1 21 26 11 19 4 19 24 20 22 0 1 20 6 22 11 1 1 18 0 0 0 24 15 24 9 0 6 12 18 6 21 9 3 21 6 0 18 18 12 24 12 3 24 15 6 15 12 9 21 0 15 21 generates a code of length 34 over Z27 who´s minimum homogenous weight is 59. Homogenous weight enumerator: w(x)=1x^0+294x^59+508x^60+2022x^61+3324x^62+4294x^63+9936x^64+10632x^65+15602x^66+25914x^67+24222x^68+24584x^69+26352x^70+14874x^71+7390x^72+5070x^73+1446x^74+286x^75+168x^76+108x^77+66x^78+30x^79+18x^80+6x^82 The gray image is a code over GF(3) with n=306, k=11 and d=177. This code was found by Heurico 1.16 in 29.9 seconds.