The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  9  1  1  1  1  1  1  3  1  1  3  1
 0  3 24  0 21 24  9  6 21 21 24  0  9 21 24  6  0  9 12 21 24  6 15  6 12 21  9 12 18 12 12 21 12 21 12 12  3 24 24  6 24  6 21  6 15  0  0  0  9  9 18 18  0  0 18 12 15 24  6 24  9 24  9  0 18  6 15  6  6 15  9  9  9  0 18 21 21 12  3  9 21 12  3 12  3  3 24  0  0 21 24
 0  0  9  0  0  0  0 18 18  9  9  9 18  9  0  9  9 18  0  9 18  9  0 18  0 18  9  9 18 18 18 18 18  9  0  0  9  0  0  9  9  9 18  0  0  0 18  9 18 18 18 18  9  0  9 18 18 18  0  9  0  9  9  9 18 18 18  0 18 18  9 18  0  0  0 18  9  0  0  0  9  0  0  9  9 18  0  0 18 18  9
 0  0  0  9  0  0 18  0  0  0  0  0  9 18 18  9 18 18  9 18 18 18  9  9 18  9  9  9  0 18  9 18  0  0  9 18  9  0 18 18 18  0 18 18  0  0 18  0 18  0  9  0 18  0  0 18  0  9  9  9  9  9  9  9  9 18  0  9 18  9 18  9 18  9 18  9  0  0 18  0  9  0  9 18  0  9  9 18 18 18 18
 0  0  0  0 18 18  0  9 18  9 18  9 18  0 18  0  9 18  0  9  9  0 18  9  0 18  9  9 18 18  9  9  9  0 18 18  0  0  9  9 18  9  0  0  9  9  9  0  0  0  9  9 18 18 18  0  0  0  0  9  9 18 18  0  0  0 18  9 18 18  0  0 18 18  9  0 18 18  9  0 18  9  9 18  9  0  0  9 18  0  0

generates a code of length 91 over Z27 who´s minimum homogenous weight is 174.

Homogenous weight enumerator: w(x)=1x^0+166x^174+84x^175+54x^176+276x^177+672x^178+216x^179+246x^180+1458x^181+216x^182+1580x^183+1002x^184+108x^186+78x^187+122x^189+46x^192+48x^193+84x^195+60x^196+18x^198+24x^201+2x^264

The gray image is a code over GF(3) with n=819, k=8 and d=522.
This code was found by Heurico 1.16 in 50.4 seconds.