The generator matrix

 1  0  1  1  1  1  1 21  1  1  1 24  1  1  0  1  1  1  1 24  1  1  1 21  1  1  1  1  1  1 21  1  0  1  1  1  1  1  1 24  1  1  1  1  0 21  1  9 24  1  6 12  1  1  1  1  1  1  1  9  3 12  1  1  1  1  1  0  1  1  1  1  1  1  1  1  1  1  1
 0  1  7 26 21  4 20  1 19 24 23  1  0 20  1 16 21 24  4  1 26 23 19  1  0 21 12  6 16 26  1 20  1 19 26 20  0  4 23  1 13 21  9 19  1  1 24  1  1 16  1  1 21  8 10  4  3 19 13  1  1  1  9 24  1 16 25  1  3  0  9 11 11  2 20  9  8 20 16
 0  0  9  0  0  0  0  0  0  9 18  9  9 18  9  9  9 18 18 18  9  9 18 18  9 18 18  0 18  0 18  9  9  0  9 18  0  0 18  0  9 18  9  9  0  0 18  0  9  0 18 18 18  0  0 18  9  0  9  9  9  0  0 18 18  0 18  9  9  9  0  9  0 18 18 18 18  0  0
 0  0  0  9  0  9 18  0 18 18  9  9  9 18 18  0 18  0 18  9  0  0  9 18  9  0 18  9  9  0 18 18  9 18  9  0 18  0 18 18 18  9  0 18 18  9  9 18  0  9  0  0 18  9  0 18  0  0  9  0 18  0  0  9 18  9  9  9  9 18  9  0 18  9  0  0  0  0  0
 0  0  0  0 18 18  0 18 18 18  9  0 18  9  0 18  9  0  0 18  9  0  0 18  9  9 18  9  9 18  9  9  9  9  0 18  9  0  0  0 18 18 18  0 18 18  0  9 18  0 18  0  9  9  9 18  9 18 18  0 18  0  9 18  0 18 18  0  9  0  9  9 18  0  0 18  9  9  0

generates a code of length 79 over Z27 who´s minimum homogenous weight is 149.

Homogenous weight enumerator: w(x)=1x^0+126x^149+430x^150+402x^151+960x^152+1178x^153+816x^154+1452x^155+1508x^156+1386x^157+2472x^158+1920x^159+1464x^160+1938x^161+1468x^162+672x^163+702x^164+402x^165+72x^166+102x^167+60x^168+24x^169+18x^170+54x^171+24x^172+6x^173+10x^174+2x^177+6x^180+4x^183+2x^198+2x^201

The gray image is a code over GF(3) with n=711, k=9 and d=447.
This code was found by Heurico 1.16 in 1.58 seconds.