The generator matrix 1 0 0 1 1 1 1 1 1 18 1 1 21 9 1 3 1 1 1 1 1 24 24 1 1 1 0 1 1 1 1 1 12 3 12 1 1 1 1 1 1 0 1 1 1 24 24 9 1 21 1 1 1 1 1 1 1 1 1 9 18 1 0 1 0 0 9 16 17 25 17 1 22 2 1 12 16 1 26 10 21 23 21 1 1 1 3 14 1 13 26 12 15 6 1 1 9 19 0 7 20 26 11 1 3 13 11 1 9 1 1 1 2 16 20 6 22 9 6 13 20 1 15 2 0 0 1 7 17 8 20 1 16 16 21 12 23 1 22 16 26 20 15 25 4 6 8 12 2 21 6 26 24 19 18 2 26 11 1 4 3 21 14 0 1 22 8 4 7 16 1 20 26 1 11 6 2 7 10 17 16 11 22 21 1 10 0 0 0 9 18 18 18 9 9 9 0 0 18 9 0 0 0 0 9 18 18 18 0 9 9 9 9 9 18 0 18 0 9 18 18 9 18 18 9 9 0 18 0 0 18 0 0 9 18 9 18 18 0 18 18 9 0 18 9 0 9 9 generates a code of length 62 over Z27 who´s minimum homogenous weight is 116. Homogenous weight enumerator: w(x)=1x^0+780x^116+1168x^117+1728x^118+3918x^119+4048x^120+3492x^121+6174x^122+5294x^123+4986x^124+6882x^125+5270x^126+3888x^127+5076x^128+2790x^129+1314x^130+1302x^131+562x^132+144x^133+114x^134+48x^135+42x^137+2x^138+12x^140+12x^141+2x^144 The gray image is a code over GF(3) with n=558, k=10 and d=348. This code was found by Heurico 1.16 in 9.63 seconds.