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 24  1  1  1 24 21  1  1  1 24  1  1  0  1  1  1  1  1 21  1  0  9  1  6  1  1  1  6  1 21  1  1  1  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 24 19  1  4 26  1  0 16  0  1  1 21 19 16  1 24 21  1 23 24 16 24 26  1 20  1  1 20  1  6  6 23  1 20  1  4 25 16  6 24 26
 0  0  9  0  0  0 18 18  9  9  9  0  9  0  9  0  9  9 18 18  9  9  0  9  0 18  0  0  0  0  9 18  9  0  9  9  0 18 18  9  9 18  0 18  9  9  0 18  9  9 18  9  0  0  9  9  9 18  0 18  9  0  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  0 18 18 18  9 18  9 18  9  0  9  9 18  0 18  9  9  9  9  0  0  0  9 18  9  9 18  9 18 18  0  9 18  9 18 18 18
 0  0  0  0 18  0 18  9  9 18 18  9  0  0  0 18  0  0  9  9  9 18 18  9 18  0  9  0  9 18 18 18  0 18  9  9  0  0  9  0  9  9  0  9  9  9  0  0 18  9  0  0  9 18  9 18 18  9  9 18  0  0 18
 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  9  9  9 18  0 18  0  9 18 18  9  9  9  0 18  0  0 18  0  9  0  9  9  9 18  9  0 18  9  9  9  9 18  0  9  0 18

generates a code of length 63 over Z27 who´s minimum homogenous weight is 113.

Homogenous weight enumerator: w(x)=1x^0+18x^113+110x^114+36x^115+390x^116+586x^117+576x^118+1116x^119+1220x^120+2952x^121+2550x^122+3134x^123+7308x^124+5016x^125+5000x^126+9468x^127+5598x^128+3558x^129+5472x^130+2280x^131+1278x^132+432x^133+426x^134+238x^135+90x^137+84x^138+12x^140+40x^141+16x^144+30x^147+4x^150+2x^156+6x^159+2x^165

The gray image is a code over GF(3) with n=567, k=10 and d=339.
This code was found by Heurico 1.16 in 11 seconds.