The generator matrix

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

generates a code of length 90 over Z27 who´s minimum homogenous weight is 171.

Homogenous weight enumerator: w(x)=1x^0+184x^171+108x^172+1116x^173+936x^174+486x^175+2286x^176+1058x^177+648x^178+2538x^179+982x^180+864x^181+3312x^182+1040x^183+648x^184+2142x^185+524x^186+162x^187+270x^188+178x^189+144x^192+36x^195+8x^198+2x^204+6x^207+2x^210+2x^219

The gray image is a code over GF(3) with n=810, k=9 and d=513.
This code was found by Heurico 1.16 in 2.02 seconds.