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  3  1  1  3  1  1  3  1  1  1  1  1  3  1  1  3  3  1  1  1  1  1  9  3  9  1  1  1  3  1
 0  9  0  0  0  0  0  0  0  0  9 18 18  9  9  9  0 18  9 18  9  0  9  0 18  9  0 18  9 18 18 18  9  9  9  0 18 18  0  0  0  9 18  9  0 18  9 18  9 18  0 18  9  0  9  0  9  9 18  9  9 18  9 18  0  0  9 18 18  0  9  0  0  0  9  9 18 18  0  0
 0  0  9  0  0  0  0  9 18 18 18  0  0 18  9 18  9  0  9  9  0 18 18  0  9  9 18  0  9  0 18 18 18  9 18  0 18 18  9  9 18 18 18 18  0  0 18 18  0  9  9  0  9  9  9 18  9  9  9  9 18 18  0 18  9  9  0  0  0  0  0  9  9 18  0 18  0  0  9  0
 0  0  0  9  0  0  9 18  0 18  0  0 18  9  9 18  0  9  0 18  0 18 18  0 18  0  9 18 18  9  9  9 18  0  0 18 18  9 18  0  9 18 18  9  9 18  9 18 18  0 18  9 18  9 18  9  9 18  0  9  0  0  9 18  9  9  9  9 18  9  0 18  9  0  0  0 18  0 18  0
 0  0  0  0  9  0 18 18  9  0 18 18 18  0 18 18  0 18  9  0 18 18  0  9 18  0 18  9  0  9  0  9  0 18  0 18  0 18  9 18  0  9 18  9 18  0 18 18  0  9 18  9  0 18 18  0 18 18 18  0  9  0  9  9  0  9 18  0  0 18 18 18  9 18  0  0 18 18 18  9
 0  0  0  0  0  9 18 18 18 18 18 18  9 18  9  9 18  9 18 18 18 18  0 18  0  9  0  0 18  9 18  0 18  9  0  9  9  0  9  0  0  9 18  9  9  9  9  0  9  9  9 18  9 18 18  9  9  0  0  0  9  9  9  9 18 18 18  9  0  0  9  9  0  9  0 18 18  0 18  9

generates a code of length 80 over Z27 who´s minimum homogenous weight is 147.

Homogenous weight enumerator: w(x)=1x^0+54x^147+30x^149+112x^150+96x^152+96x^153+192x^155+588x^156+294x^158+2040x^159+414x^161+2006x^162+294x^164+52x^165+108x^167+34x^168+30x^170+10x^171+36x^174+14x^177+12x^180+16x^183+6x^186+6x^189+8x^192+8x^195+2x^198+2x^210

The gray image is a code over GF(3) with n=720, k=8 and d=441.
This code was found by Heurico 1.16 in 0.672 seconds.