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

generates a code of length 78 over Z27 who´s minimum homogenous weight is 149.

Homogenous weight enumerator: w(x)=1x^0+318x^149+258x^150+72x^151+732x^152+100x^153+432x^154+1446x^155+142x^156+864x^157+1374x^158+66x^159+90x^160+264x^161+38x^162+108x^164+36x^165+90x^167+66x^168+24x^170+12x^171+12x^173+6x^177+6x^179+2x^180+2x^210

The gray image is a code over GF(3) with n=702, k=8 and d=447.
This code was found by Heurico 1.16 in 59.1 seconds.