The generator matrix

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

generates a code of length 61 over Z27 who´s minimum homogenous weight is 111.

Homogenous weight enumerator: w(x)=1x^0+114x^111+90x^112+360x^113+932x^114+906x^115+2022x^116+2452x^117+2508x^118+5106x^119+4456x^120+5136x^121+8916x^122+5338x^123+5364x^124+6924x^125+3798x^126+1740x^127+1188x^128+828x^129+132x^130+174x^131+200x^132+120x^133+72x^134+48x^135+36x^136+24x^137+38x^138+6x^139+8x^141+8x^144+2x^150+2x^153

The gray image is a code over GF(3) with n=549, k=10 and d=333.
This code was found by Heurico 1.16 in 9.52 seconds.