The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+610x^171+1086x^172+1872x^173+3654x^174+2574x^175+3858x^176+5512x^177+3840x^178+4704x^179+5364x^180+3918x^181+3942x^182+5204x^183+2910x^184+2760x^185+3276x^186+1266x^187+1116x^188+824x^189+354x^190+186x^191+40x^192+60x^193+6x^194+40x^195+24x^196+6x^197+8x^198+6x^199+12x^200+6x^201+4x^204+6x^206

The gray image is a code over GF(3) with n=810, k=10 and d=513.
This code was found by Heurico 1.16 in 11.4 seconds.