The generator matrix 1 0 1 1 1 1 21 1 1 24 1 1 1 0 1 1 18 1 3 15 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 12 1 1 1 12 24 18 1 12 1 1 1 1 6 1 1 15 1 6 1 18 0 1 1 26 21 20 1 24 23 1 16 4 0 1 24 25 1 2 1 1 21 22 17 1 14 16 20 0 14 4 1 12 20 11 18 23 1 1 2 16 1 1 1 10 1 21 22 23 18 1 26 12 1 16 1 9 9 0 0 24 0 18 18 18 0 18 18 15 24 6 24 6 21 3 3 12 12 15 21 12 3 12 18 15 0 3 0 15 21 18 9 21 15 0 6 3 21 6 15 12 9 0 9 3 6 24 9 15 6 21 0 21 15 3 0 0 0 9 9 0 18 18 18 9 18 9 18 9 0 18 9 18 0 18 9 9 0 0 9 9 18 9 18 18 0 9 18 9 18 9 9 18 9 9 18 9 18 18 0 0 18 18 9 9 9 0 0 0 9 18 9 generates a code of length 57 over Z27 who´s minimum homogenous weight is 107. Homogenous weight enumerator: w(x)=1x^0+486x^107+764x^108+936x^109+1308x^110+1586x^111+1674x^112+1602x^113+2260x^114+2376x^115+1872x^116+1882x^117+1224x^118+792x^119+462x^120+108x^121+150x^122+44x^123+72x^125+26x^126+24x^128+22x^129+12x^131 The gray image is a code over GF(3) with n=513, k=9 and d=321. This code was found by Heurico 1.16 in 3.93 seconds.