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 3 3 1 1 1 0 1 1 3 1 1 1 1 1 3 1 1 1 0 1 3 1 1 1 1 3 0 3 24 0 21 24 0 21 24 9 21 24 6 0 21 12 6 9 24 0 21 12 3 9 24 6 0 15 0 9 6 12 21 24 24 9 21 3 24 6 21 3 6 18 18 0 24 3 15 24 3 18 21 12 6 12 18 21 0 0 9 0 0 0 0 18 9 0 9 18 18 0 0 9 0 0 9 18 18 9 9 18 0 18 9 9 18 18 0 9 9 9 9 9 18 18 18 0 9 18 0 9 0 9 18 18 9 18 9 9 0 18 9 0 0 9 0 0 0 9 0 0 0 0 0 18 0 9 18 9 9 9 9 18 9 18 9 9 0 9 9 18 0 18 9 18 0 18 0 18 18 9 18 0 0 0 9 9 0 0 9 0 18 9 0 9 9 18 9 18 18 0 18 9 0 0 0 0 18 0 9 18 9 9 0 9 18 0 18 0 18 0 18 18 0 0 0 9 0 9 18 18 0 18 18 18 9 0 18 18 18 9 0 18 9 18 9 0 9 0 9 0 18 0 18 0 9 9 0 18 18 0 0 0 0 0 0 9 9 0 18 9 0 0 9 9 18 18 9 9 0 18 0 0 9 9 9 9 18 0 9 9 0 18 18 9 9 0 18 18 9 18 0 0 9 0 0 9 0 9 0 0 9 9 18 9 0 9 18 18 generates a code of length 58 over Z27 who´s minimum homogenous weight is 104. Homogenous weight enumerator: w(x)=1x^0+78x^104+114x^105+138x^106+240x^107+166x^108+306x^109+408x^110+512x^111+1470x^112+438x^113+1418x^114+4458x^115+528x^116+1794x^117+4536x^118+498x^119+918x^120+462x^121+456x^122+44x^123+264x^124+204x^125+36x^126+18x^127+66x^128+12x^129+12x^130+30x^132+22x^135+16x^138+10x^141+6x^144+4x^150 The gray image is a code over GF(3) with n=522, k=9 and d=312. This code was found by Heurico 1.16 in 99.6 seconds.