The generator matrix

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

generates a code of length 91 over Z27 who´s minimum homogenous weight is 173.

Homogenous weight enumerator: w(x)=1x^0+678x^173+974x^174+2268x^175+3054x^176+2410x^177+5232x^178+4134x^179+3640x^180+6066x^181+4290x^182+3442x^183+6156x^184+3774x^185+2716x^186+3576x^187+2364x^188+1276x^189+1284x^190+912x^191+298x^192+180x^193+180x^194+42x^195+6x^196+30x^197+12x^199+6x^200+8x^201+12x^203+10x^204+6x^205+6x^206+6x^210

The gray image is a code over GF(3) with n=819, k=10 and d=519.
This code was found by Heurico 1.16 in 11.5 seconds.