The generator matrix

 1  0  0  1  1  1  1  1  9  1  1  1 15  1  1  1  1  3  1 24  1  1 15 18  1 12  1 12  1  1  1  1  1 24  1  1  1  1  9  1  0  1  1  1  1  1  1  1  1 12 12 15  1  1  1 24  1  1  1  1  1  0 18  1  1  1  1  1  1  1  1  1  1 15 18  1  1
 0  1  0 18  1 19 23 21  1  4  5 26  1  9 22  7 20  1 16  1 11 24 21  1  8  1 14 12 22  6 11 10  6  1  3 15  1  2  1  8 15  4 26 12 21 16 20 13 25  1  0  1 11 23 16  1  7  5  3 22 17  1  1 11 26 10 19  2  8  9 21 18 16  1  1 26 21
 0  0  1 16 25 18 17  8 22  5 22  6 20 21  7  9 23  0 14 13 10 26  1 12 11 14  3  1 19 13 12 15 25 14  0  5 20  8  7 13  1 22 17 14 24  2 16 24 17  8  1  7  6 11  1 21 25 15  3 18 10  1 20 22  3  8 21  2  7 26  4  7  4  9 15  5  6

generates a code of length 77 over Z27 who´s minimum homogenous weight is 148.

Homogenous weight enumerator: w(x)=1x^0+1014x^148+1392x^149+1716x^150+2412x^151+1926x^152+1378x^153+2064x^154+1026x^155+1186x^156+1554x^157+1134x^158+626x^159+792x^160+510x^161+352x^162+408x^163+168x^164+2x^165+12x^166+4x^168+6x^169

The gray image is a code over GF(3) with n=693, k=9 and d=444.
This code was found by Heurico 1.16 in 1.28 seconds.