The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+152x^147+150x^148+570x^149+1190x^150+1392x^151+2250x^152+3460x^153+3060x^154+3174x^155+5454x^156+5148x^157+5310x^158+6310x^159+5142x^160+4692x^161+4872x^162+2466x^163+1578x^164+1264x^165+420x^166+228x^167+198x^168+126x^169+102x^170+78x^171+36x^172+36x^173+60x^174+24x^175+30x^176+30x^177+18x^178+12x^179+8x^180+6x^183+2x^189

The gray image is a code over GF(3) with n=711, k=10 and d=441.
This code was found by Heurico 1.16 in 11.9 seconds.