The generator matrix

 1  0  0  1  1  1  1  1  1  1 18 18  1  3  1  1  1  0  1  1  6  1  1 21  1  1  1  1  6  1  3 24  1  1  1  6  1  1  1  1  1 15  1  1  1  9  1 12  3  1  1  1  1  1 21  1 24 24  1  1  1  1  1  1  1  1 12  1  1  1 24 18  1
 0  1  0  0  9 16 23 14 14 19  1  1  4  3  9 23 12  1  7 20  1  4 22  1 15 26 10 21  1 18  1  1 21  6 20  3 11 13  2 21 18  1  1  5 11 12 18  1  1 21  7 26 10  7  0 25  1  1 17 15 17 25  4  2  2 24  1 20  0 25  1  1 22
 0  0  1  7 17  8  9 16 20  6 11 19  4  1 24  1 10  4  7 17  3 21 20 11  2  6  9 24 19 19 18 11 16 18 16  1 18  1 26 12 22  5 14 21 14  1 23  8 12 15  1 21  4  5  1 22 15  8 13 23 20 25 24 13 16 12 15 23  6 24  0  7 26
 0  0  0  9 18 18  0  9 18  0 18  9  9  9  0  9  9 18  0  0 18 18  9  0  9 18  9  9  0 18  9  0  0 18 18 18  9 18  9 18 18  9  9 18 18 18  9  9 18 18  9  9  0 18  9  0 18  0  9  0 18 18  0 18  0  0  0  0  9  9  9  9  0

generates a code of length 73 over Z27 who´s minimum homogenous weight is 138.

Homogenous weight enumerator: w(x)=1x^0+1076x^138+1530x^139+2574x^140+3274x^141+4122x^142+4410x^143+4866x^144+5508x^145+5040x^146+5090x^147+5274x^148+4608x^149+3224x^150+3222x^151+2016x^152+1762x^153+756x^154+306x^155+270x^156+54x^159+40x^162+26x^165

The gray image is a code over GF(3) with n=657, k=10 and d=414.
This code was found by Heurico 1.16 in 20.6 seconds.