The generator matrix

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

generates a code of length 78 over Z27 who´s minimum homogenous weight is 151.

Homogenous weight enumerator: w(x)=1x^0+384x^151+852x^152+732x^153+888x^154+708x^155+320x^156+558x^157+480x^158+236x^159+372x^160+438x^161+230x^162+222x^163+102x^164+14x^165+6x^167+2x^168+6x^170+6x^172+2x^183+2x^186

The gray image is a code over GF(3) with n=702, k=8 and d=453.
This code was found by Heurico 1.16 in 2.8 seconds.