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

generates a code of length 87 over Z27 who´s minimum homogenous weight is 169.

Homogenous weight enumerator: w(x)=1x^0+678x^169+960x^170+164x^171+744x^172+1110x^173+118x^174+498x^175+756x^176+78x^177+576x^178+408x^179+32x^180+222x^181+162x^182+18x^184+6x^187+6x^189+6x^191+6x^193+4x^198+6x^199+2x^201

The gray image is a code over GF(3) with n=783, k=8 and d=507.
This code was found by Heurico 1.16 in 36.6 seconds.