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

generates a code of length 93 over Z27 who´s minimum homogenous weight is 175.

Homogenous weight enumerator: w(x)=1x^0+156x^175+270x^176+140x^177+504x^178+612x^179+196x^180+762x^181+1242x^182+522x^183+1848x^184+2772x^185+1958x^186+2616x^187+2682x^188+604x^189+684x^190+648x^191+94x^192+234x^193+210x^194+34x^195+240x^196+114x^197+54x^198+108x^199+108x^200+24x^201+78x^202+60x^203+8x^204+42x^205+12x^206+12x^208+18x^209+6x^210+6x^211+2x^222+2x^255

The gray image is a code over GF(3) with n=837, k=9 and d=525.
This code was found by Heurico 1.16 in 3.26 seconds.