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

generates a code of length 82 over Z27 who´s minimum homogenous weight is 153.

Homogenous weight enumerator: w(x)=1x^0+122x^153+192x^154+276x^155+404x^156+354x^157+408x^158+530x^159+990x^160+1026x^161+1400x^162+2790x^163+2994x^164+2136x^165+2820x^166+1122x^167+374x^168+258x^169+192x^170+298x^171+150x^172+150x^173+102x^174+90x^175+66x^176+104x^177+96x^178+60x^179+84x^180+18x^181+18x^182+26x^183+12x^184+6x^185+6x^186+6x^187+2x^228

The gray image is a code over GF(3) with n=738, k=9 and d=459.
This code was found by Heurico 1.16 in 2.66 seconds.