The generator matrix

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

generates a code of length 69 over Z27 who´s minimum homogenous weight is 130.

Homogenous weight enumerator: w(x)=1x^0+1032x^130+1170x^131+1912x^132+4104x^133+4056x^134+3790x^135+6558x^136+4620x^137+4412x^138+6714x^139+4740x^140+3966x^141+4704x^142+2658x^143+1464x^144+1842x^145+660x^146+242x^147+252x^148+48x^149+2x^150+48x^151+18x^152+4x^153+6x^154+12x^155+2x^156+12x^157

The gray image is a code over GF(3) with n=621, k=10 and d=390.
This code was found by Heurico 1.16 in 79.8 seconds.