The generator matrix 1 0 0 1 1 1 1 1 1 18 1 1 0 1 18 15 1 1 1 1 1 21 1 6 1 1 24 1 1 1 1 15 1 1 1 1 3 1 1 1 1 1 0 1 1 1 12 3 1 21 1 1 9 1 1 1 0 12 1 1 1 1 1 1 1 24 0 1 0 0 9 16 23 16 23 1 14 25 1 25 1 1 17 24 8 22 6 1 9 12 17 10 1 2 4 16 6 1 3 8 6 20 1 11 10 22 26 20 6 21 12 15 1 1 7 9 11 25 1 11 5 19 9 1 19 13 6 5 17 0 22 12 0 0 1 7 17 8 9 15 23 19 16 1 8 25 23 19 11 13 7 2 23 15 15 1 0 6 18 21 3 20 16 11 18 22 26 26 10 11 17 7 1 23 1 19 26 19 13 16 5 1 24 9 24 24 16 4 1 4 9 4 4 15 1 20 15 1 0 0 0 9 18 18 0 0 18 9 9 9 18 0 0 0 0 0 0 0 0 18 9 18 18 9 9 9 18 9 18 9 18 18 9 0 18 9 0 18 18 18 9 0 18 18 9 18 18 9 18 18 18 0 0 18 18 0 0 0 9 0 0 0 9 9 generates a code of length 66 over Z27 who´s minimum homogenous weight is 124. Homogenous weight enumerator: w(x)=1x^0+714x^124+1404x^125+2152x^126+3390x^127+4506x^128+4196x^129+5088x^130+5622x^131+4720x^132+6180x^133+5316x^134+4084x^135+4248x^136+3330x^137+1862x^138+1110x^139+636x^140+222x^141+126x^142+42x^143+12x^144+24x^145+30x^146+2x^147+12x^148+6x^149+2x^150+6x^152+6x^154 The gray image is a code over GF(3) with n=594, k=10 and d=372. This code was found by Heurico 1.16 in 33.7 seconds.