The generator matrix

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

generates a code of length 89 over Z27 who´s minimum homogenous weight is 166.

Homogenous weight enumerator: w(x)=1x^0+138x^166+528x^167+1440x^168+2406x^169+4122x^170+6066x^171+5940x^172+8484x^173+11652x^174+9888x^175+12966x^176+16834x^177+13014x^178+15858x^179+16726x^180+11250x^181+11502x^182+10714x^183+5958x^184+4728x^185+3244x^186+1626x^187+882x^188+506x^189+222x^190+114x^191+92x^192+48x^193+66x^194+22x^195+18x^196+36x^197+14x^198+30x^199+6x^200+6x^202

The gray image is a code over GF(3) with n=801, k=11 and d=498.
This code was found by Heurico 1.16 in 90.9 seconds.