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

generates a code of length 83 over Z27 who´s minimum homogenous weight is 155.

Homogenous weight enumerator: w(x)=1x^0+276x^155+210x^156+606x^158+476x^159+108x^160+828x^161+692x^162+648x^163+3132x^164+1536x^165+1296x^166+5082x^167+1364x^168+864x^169+822x^170+364x^171+330x^173+152x^174+258x^176+138x^177+174x^179+122x^180+90x^182+44x^183+48x^185+2x^186+12x^188+6x^191+2x^228

The gray image is a code over GF(3) with n=747, k=9 and d=465.
This code was found by Heurico 1.16 in 3.06 seconds.