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

generates a code of length 80 over Z27 who´s minimum homogenous weight is 151.

Homogenous weight enumerator: w(x)=1x^0+54x^151+78x^152+32x^153+360x^154+192x^155+34x^156+78x^157+648x^158+60x^159+3006x^160+1338x^161+64x^162+174x^163+66x^164+36x^165+54x^166+12x^168+12x^169+42x^170+2x^171+114x^172+66x^173+30x^175+6x^178+2x^237

The gray image is a code over GF(3) with n=720, k=8 and d=453.
This code was found by Heurico 1.16 in 0.587 seconds.