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

generates a code of length 79 over Z27 who´s minimum homogenous weight is 150.

Homogenous weight enumerator: w(x)=1x^0+86x^150+156x^151+180x^152+306x^153+564x^154+462x^155+540x^156+672x^157+666x^158+958x^159+684x^160+552x^161+130x^162+216x^163+24x^164+40x^165+48x^166+36x^167+60x^168+42x^169+6x^170+22x^171+30x^172+18x^173+30x^174+18x^175+12x^177+2x^210

The gray image is a code over GF(3) with n=711, k=8 and d=450.
This code was found by Heurico 1.16 in 0.524 seconds.