The generator matrix

 1  0  1  1  1  1  1 21  1  1 24  1  1  1  1  1  0  1  1  1 21  1  1 24  1  1  1 24  1  1  1  0  1  1  1  1 21  1  1  1  1 24  0  1  1  1  1 21  1  6  1  1 12  1  1  1  1  1  1  1  1  9 15  1 15  1  1  1  1  1  3  9  1  1  1  1  3  9
 0  1  7 26 21  4 20  1 19 24  1 23 26 16  0  4  1 19 21 20  1 23 24  1 16 26 19  1 23 21  0  1  4 20 24 13  1 19 24  5  8  1  1 21  0 16 12  1  9  1  6  4  1  7 10 25 22 26 18 23 16  1  1  6  1 20 24 15  0  0  1  1 18 25 15 16 15  1
 0  0  9  0  0  0 18  9 18  9  9  9  9  0 18  0  0  9  9 18  0 18  9  0 18 18 18  9  9  0  0 18  0  9  9  0  0 18 18 18  0 18  0 18  9 18  0  9  0  9  9 18  9  0  9  0  9  9  9 18 18  9 18 18  0  0 18  9  0  9  9 18 18  9  0  0  9 18
 0  0  0  9  0  9  9  9 18 18  0 18  0  9  9  0  9  9  0  9 18  9  0 18  9  0  0 18  0  9 18  9 18  9  9 18  9  0  9  0 18  9  9  0 18  9  9 18  9 18  0  9  0  9 18  0  0  9  0  0  0  9  0  9 18  0  0 18  9  9  9 18 18  9  0 18  9 18
 0  0  0  0 18 18  0 18 18  9 18 18  9  9  9  9  0  0  0 18  9  9 18  0  0 18  0  9 18  0  0  9 18  9  9  9 18  9 18  9  0 18  9  0  0 18 18  0  9 18  9  9  0  0  9 18 18  0  0  0 18  0  9  0  9  0 18 18 18 18  9  9 18 18  9  0  0 18

generates a code of length 78 over Z27 who´s minimum homogenous weight is 147.

Homogenous weight enumerator: w(x)=1x^0+290x^147+144x^148+252x^149+1960x^150+414x^151+612x^152+2256x^153+684x^154+1512x^155+3080x^156+828x^157+1422x^158+3238x^159+720x^160+576x^161+1114x^162+126x^163+300x^165+70x^168+74x^171+2x^174+4x^177+2x^186+2x^189

The gray image is a code over GF(3) with n=702, k=9 and d=441.
This code was found by Heurico 1.16 in 1.55 seconds.