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

generates a code of length 88 over Z27 who´s minimum homogenous weight is 167.

Homogenous weight enumerator: w(x)=1x^0+624x^167+730x^168+1872x^169+3696x^170+2594x^171+4086x^172+5694x^173+3378x^174+4734x^175+6066x^176+3474x^177+4626x^178+5058x^179+2694x^180+2880x^181+2820x^182+1192x^183+1044x^184+1110x^185+216x^186+198x^187+120x^188+18x^189+66x^191+20x^192+12x^194+6x^195+12x^198+6x^200+2x^204

The gray image is a code over GF(3) with n=792, k=10 and d=501.
This code was found by Heurico 1.16 in 11.1 seconds.