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

generates a code of length 87 over Z27 who´s minimum homogenous weight is 165.

Homogenous weight enumerator: w(x)=1x^0+492x^165+912x^166+2052x^167+2912x^168+3114x^169+4404x^170+4332x^171+4524x^172+5526x^173+4492x^174+4818x^175+4782x^176+3374x^177+3390x^178+3324x^179+2752x^180+1260x^181+1050x^182+696x^183+402x^184+210x^185+74x^186+30x^187+12x^188+34x^189+12x^190+12x^191+14x^192+6x^193+12x^194+18x^195+6x^198

The gray image is a code over GF(3) with n=783, k=10 and d=495.
This code was found by Heurico 1.16 in 10.3 seconds.