The generator matrix

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

generates a code of length 86 over Z27 who´s minimum homogenous weight is 163.

Homogenous weight enumerator: w(x)=1x^0+498x^163+684x^164+1892x^165+3372x^166+3456x^167+3480x^168+5568x^169+4356x^170+4090x^171+5826x^172+4248x^173+3820x^174+4620x^175+3402x^176+2950x^177+2868x^178+1584x^179+836x^180+900x^181+252x^182+132x^183+102x^184+24x^186+42x^187+12x^189+6x^190+6x^192+6x^193+8x^195+2x^198+6x^199

The gray image is a code over GF(3) with n=774, k=10 and d=489.
This code was found by Heurico 1.16 in 10.2 seconds.