The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+240x^138+474x^139+486x^140+1396x^141+1416x^142+1230x^143+2020x^144+1644x^145+1506x^146+2886x^147+1476x^148+1176x^149+1538x^150+1056x^151+372x^152+254x^153+198x^154+78x^155+76x^156+18x^157+12x^158+48x^159+12x^160+20x^162+12x^163+16x^165+12x^166+6x^168+2x^174+2x^183

The gray image is a code over GF(3) with n=657, k=9 and d=414.
This code was found by Heurico 1.16 in 1.39 seconds.