The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 3 1 0 3 1 1 0 3 24 0 21 24 6 9 21 21 0 24 21 0 24 6 18 12 21 0 9 12 0 21 24 6 6 9 6 12 9 3 9 15 21 9 18 6 12 12 24 9 6 15 0 12 24 18 21 15 3 24 21 3 21 3 0 0 0 9 0 0 0 18 0 18 9 0 9 9 9 0 9 9 0 18 18 9 0 18 9 9 0 18 0 18 18 18 9 9 18 18 18 0 0 18 0 0 9 18 18 0 18 18 9 0 18 18 9 18 9 18 0 0 0 0 0 9 0 9 18 18 18 9 0 18 0 18 18 18 0 18 0 0 18 9 18 0 9 0 0 18 18 9 9 18 9 9 9 9 18 0 18 18 0 18 0 0 9 0 9 0 18 18 18 9 9 9 9 9 0 0 0 0 0 18 18 9 0 18 9 18 18 0 0 18 0 9 0 18 18 9 0 18 9 0 18 9 18 0 18 18 0 9 0 9 9 9 0 0 18 9 18 0 18 18 0 18 0 9 18 9 18 0 0 18 9 9 generates a code of length 57 over Z27 who´s minimum homogenous weight is 105. Homogenous weight enumerator: w(x)=1x^0+64x^105+6x^106+90x^107+298x^108+48x^109+276x^110+216x^111+1116x^112+744x^113+212x^114+2136x^115+720x^116+140x^117+96x^118+90x^120+84x^122+98x^123+18x^125+74x^126+12x^128+18x^129+2x^132+2x^159 The gray image is a code over GF(3) with n=513, k=8 and d=315. This code was found by Heurico 1.16 in 0.292 seconds.