The generator matrix

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

generates a code of length 61 over Z27 who´s minimum homogenous weight is 116.

Homogenous weight enumerator: w(x)=1x^0+696x^116+1070x^117+1932x^118+2094x^119+2032x^120+1704x^121+1500x^122+1966x^123+1608x^124+1638x^125+998x^126+798x^127+798x^128+476x^129+270x^130+72x^131+8x^132+6x^133+2x^135+6x^138+6x^140+2x^144

The gray image is a code over GF(3) with n=549, k=9 and d=348.
This code was found by Heurico 1.16 in 0.806 seconds.