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

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

Homogenous weight enumerator: w(x)=1x^0+156x^147+120x^148+150x^149+552x^150+276x^151+450x^152+892x^153+588x^154+1104x^155+2432x^156+1506x^157+2418x^158+3720x^159+1458x^160+1368x^161+946x^162+162x^163+96x^164+314x^165+84x^166+150x^167+246x^168+78x^169+54x^170+100x^171+42x^172+36x^173+68x^174+18x^175+36x^177+42x^178+12x^180+6x^182+2x^216

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 2.53 seconds.