The generator matrix

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

generates a code of length 90 over Z27 who´s minimum homogenous weight is 174.

Homogenous weight enumerator: w(x)=1x^0+148x^174+12x^175+1584x^176+742x^177+60x^178+1278x^179+370x^180+72x^181+378x^182+180x^183+6x^184+1170x^185+394x^186+12x^187+126x^188+18x^189+2x^195+2x^198+2x^201+2x^204+2x^216

The gray image is a code over GF(3) with n=810, k=8 and d=522.
This code was found by Heurico 1.16 in 0.485 seconds.