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

generates a code of length 90 over Z27 who´s minimum homogenous weight is 170.

Homogenous weight enumerator: w(x)=1x^0+390x^170+344x^171+54x^172+972x^173+630x^174+576x^175+1386x^176+1320x^177+972x^178+2166x^179+2070x^180+1998x^181+2292x^182+1504x^183+720x^184+660x^185+366x^186+54x^187+264x^188+112x^189+276x^191+84x^192+210x^194+60x^195+90x^197+54x^198+24x^200+12x^201+12x^203+6x^206+2x^210+2x^234

The gray image is a code over GF(3) with n=810, k=9 and d=510.
This code was found by Heurico 1.16 in 33.4 seconds.