The generator matrix

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

generates a code of length 92 over Z27 who´s minimum homogenous weight is 173.

Homogenous weight enumerator: w(x)=1x^0+276x^173+388x^174+522x^175+1602x^176+1992x^177+1944x^178+3078x^179+3558x^180+3420x^181+4044x^182+5206x^183+5058x^184+5688x^185+5646x^186+4428x^187+3678x^188+3412x^189+1926x^190+1326x^191+676x^192+198x^193+306x^194+126x^195+180x^197+70x^198+138x^200+42x^201+36x^203+6x^204+48x^206+4x^207+12x^209+6x^210+6x^213+2x^216

The gray image is a code over GF(3) with n=828, k=10 and d=519.
This code was found by Heurico 1.16 in 15.2 seconds.