The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+96x^174+354x^175+774x^176+794x^177+846x^178+756x^179+254x^180+450x^181+588x^182+228x^183+456x^184+396x^185+266x^186+144x^187+72x^188+36x^189+18x^190+4x^192+12x^198+6x^200+6x^201+2x^210+2x^222

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 0.475 seconds.