The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+444x^130+234x^131+824x^132+1194x^133+1260x^134+1530x^135+2022x^136+1404x^137+1542x^138+2598x^139+1494x^140+1376x^141+1332x^142+846x^143+658x^144+486x^145+108x^146+90x^147+114x^148+28x^150+42x^151+16x^153+12x^154+6x^156+12x^157+2x^159+6x^160+2x^168

The gray image is a code over GF(3) with n=621, k=9 and d=390.
This code was found by Heurico 1.16 in 1.42 seconds.