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

generates a code of length 79 over Z27 who´s minimum homogenous weight is 152.

Homogenous weight enumerator: w(x)=1x^0+1350x^152+1344x^153+1398x^154+2616x^155+1518x^156+1386x^157+2274x^158+1168x^159+834x^160+1770x^161+884x^162+690x^163+1110x^164+514x^165+222x^166+432x^167+158x^168+6x^172+6x^173+2x^174

The gray image is a code over GF(3) with n=711, k=9 and d=456.
This code was found by Heurico 1.16 in 1.64 seconds.