The generator matrix

 1  0  1  1  1  1  1  1  0  1 18  1  1  1  1 24  1 21  1  1  3 21  1  1  1  1  1  6  1  1  1  1  1  1  1  1 21  1  6  1  1  1  1  1  1  3  1  0 18  1 15  1  3  1  0  1 18  1  6  1  1 18  1  1  1  1  1  1  1  1  1 18 24  1 15  1  0  1
 0  1  1 26 21 20 16 24  1 22  1 17  5 16 18  1  4  1 26  0  1  1 23 24  4 19 21  1 20  4 12 25 14  3 10 15  1  1  1 23 17  9 24  3 22  1  0  1  1  7  1  3  1 17  1 25  1 23  1 20  2  1 17 25 21  6 24 11 10  0  2  1  1 13  1  2  1 15
 0  0 24  0 18 18  9  0  6 21 21 21 15  6 12 15 24 15 24 15 21  0  9 15  0  9 15  3 15  9  3 12 21 24 24  6 24  3 18 24  9 18 12  3  6 21  3 15  0 21  6 18 15  3  9 15 21 24 12 12  6  0 18 21  9  6  9  0  0  6  6 12  9 12  9  3 12 12
 0  0  0  9  9  0 18 18 18  9  9  0  0 18  0  0  9  9 18  0  0 18  0  9  9 18  0 18  9  0  9  9 18 18  9  0  0 18  0 18 18  9 18  0  0 18  9  0 18 18  9  0 18 18 18  9  0  9  9  0  0  9 18  0 18 18  9  9  9  9 18  0 18 18  0 18 18  0

generates a code of length 78 over Z27 who´s minimum homogenous weight is 148.

Homogenous weight enumerator: w(x)=1x^0+300x^148+342x^149+660x^150+1698x^151+1116x^152+1370x^153+2256x^154+1290x^155+1536x^156+2490x^157+1164x^158+1388x^159+1818x^160+750x^161+596x^162+522x^163+120x^164+26x^165+60x^166+30x^167+2x^168+30x^169+24x^170+48x^172+12x^173+2x^174+12x^175+12x^176+2x^177+4x^180+2x^183

The gray image is a code over GF(3) with n=702, k=9 and d=444.
This code was found by Heurico 1.16 in 1.57 seconds.