The generator matrix

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

generates a code of length 72 over Z27 who´s minimum homogenous weight is 139.

Homogenous weight enumerator: w(x)=1x^0+438x^139+684x^140+584x^141+942x^142+846x^143+372x^144+552x^145+612x^146+240x^147+486x^148+414x^149+174x^150+132x^151+36x^152+2x^153+6x^154+6x^157+24x^160+6x^166+2x^168+2x^177

The gray image is a code over GF(3) with n=648, k=8 and d=417.
This code was found by Heurico 1.16 in 1.84 seconds.