The generator matrix

 1  0  1  1  1  1  1 21  1  1  1 24  0  1  1  1  1  1 21  1 24  1  1  1  0  1  1  1  1 21  1  1  1 24  1  1  0  1  1 24  1  1  1  1  6  1  1  1  1  1  1  1  1  0  1  1  1 21  1  1  1
 0  1  7 26 21  4 20  1 24 19 23  1  1  0 16 26 20  4  1 21  1 23 19 24  1 16 19 23 24  1 20 16 24  1  4  0  1  4 21  1 23 23  0 24  1 16  6 16  4 20 13 21 11  1  6 21  5  1 20  4  0
 0  0  9  0  0  0 18 18  9  9  9  0  9  0  9  0  9  9 18 18  9  9  9  0  0 18 18  9  9  0  0  0  0 18  0  0  9  0 18  9 18 18  9 18  9  0 18 18  0  9  9  0  0 18  0 18  0 18  9 18  0
 0  0  0  9  0  0 18 18 18  0  9  9 18  9 18  0 18  9 18  0 18  0 18 18  0  0 18  0  9  9  0  9 18  0 18  0  9  9  9 18 18 18  0  9 18  9  9 18 18  9  9 18 18  9  0  0 18  0 18 18  0
 0  0  0  0 18  0 18  9  9 18 18  9  0  0  0 18  0  0  9  9  9 18  9 18 18  0 18  0 18  0  9  9 18  0  0 18 18  9 18  0  0 18  9 18 18  0  9  9 18  9  9  0 18  9 18  9 18  9  0  9  0
 0  0  0  0  0  9 18  0 18 18 18 18 18 18  9  9 18  0 18  9 18  0  0  0  9  9  0  9  0  9  9  0  9  9  9 18  0  9  0  0  9  9 18 18 18  0 18 18 18 18  9  0  9 18  0 18  0 18  9  0  9

generates a code of length 61 over Z27 who´s minimum homogenous weight is 108.

Homogenous weight enumerator: w(x)=1x^0+26x^108+30x^109+194x^111+306x^112+288x^113+724x^114+1314x^115+1098x^116+1878x^117+3864x^118+4068x^119+3654x^120+8664x^121+6030x^122+4954x^123+8466x^124+4896x^125+2914x^126+3114x^127+1116x^128+732x^129+372x^130+108x^132+102x^133+36x^135+12x^136+30x^138+22x^141+12x^144+14x^147+4x^150+2x^153+2x^156+2x^159

The gray image is a code over GF(3) with n=549, k=10 and d=324.
This code was found by Heurico 1.16 in 9.55 seconds.