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

generates a code of length 79 over Z27 who´s minimum homogenous weight is 147.

Homogenous weight enumerator: w(x)=1x^0+174x^147+180x^148+138x^149+536x^150+222x^151+336x^152+688x^153+690x^154+1422x^155+2032x^156+2136x^157+2076x^158+3346x^159+2136x^160+1554x^161+402x^162+186x^163+138x^164+308x^165+114x^166+78x^167+262x^168+90x^169+30x^170+154x^171+60x^172+42x^173+58x^174+18x^175+12x^176+50x^177+6x^179+6x^180+2x^219

The gray image is a code over GF(3) with n=711, k=9 and d=441.
This code was found by Heurico 1.16 in 2.86 seconds.