The generator matrix 1 0 0 1 1 15 1 1 1 1 1 1 1 18 21 1 1 3 1 1 1 1 1 1 18 1 0 6 3 1 1 6 1 1 0 1 0 15 0 1 16 1 17 14 26 7 20 1 1 12 22 1 8 7 21 1 11 5 21 3 1 12 1 11 25 18 0 24 0 0 1 25 26 16 14 1 21 16 26 24 15 20 18 18 19 7 1 12 14 11 17 13 1 11 10 1 26 20 8 1 15 18 0 0 0 18 9 0 18 18 0 9 18 18 9 9 9 18 9 18 0 9 0 0 0 18 18 18 9 9 0 9 9 9 0 18 generates a code of length 34 over Z27 who´s minimum homogenous weight is 61. Homogenous weight enumerator: w(x)=1x^0+732x^61+738x^62+1800x^63+4272x^64+3174x^65+5226x^66+9168x^67+6486x^68+8478x^69+9756x^70+3798x^71+2684x^72+2226x^73+318x^74+22x^75+84x^76+48x^77+12x^78+6x^79+18x^80+2x^84 The gray image is a code over GF(3) with n=306, k=10 and d=183. This code was found by Heurico 1.16 in 3.44 seconds.