The generator matrix

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

generates a code of length 90 over Z27 who´s minimum homogenous weight is 169.

Homogenous weight enumerator: w(x)=1x^0+204x^169+288x^170+672x^171+1308x^172+1362x^173+3006x^174+2976x^175+2760x^176+4720x^177+4176x^178+4008x^179+6328x^180+5658x^181+4152x^182+5898x^183+3936x^184+2100x^185+2386x^186+1140x^187+630x^188+352x^189+312x^190+90x^191+80x^192+108x^193+90x^194+68x^195+54x^196+36x^197+36x^198+24x^199+30x^200+8x^201+18x^202+6x^205+6x^206+12x^207+6x^208+2x^210+2x^213

The gray image is a code over GF(3) with n=810, k=10 and d=507.
This code was found by Heurico 1.16 in 14 seconds.