The generator matrix

 1  0  1  1  1  1  1 21  1  1  1  1  1  1  1  1  1
 0  1  7 26 21  4 20  1 24 19 23  4 26  4 13 16  0
 0  0  9  0 18  9 18  0  9 18  0  0  9 18 18  0  9
 0  0  0  9  9 18 18  9  9  0  0  9 18 18  9 18  0

generates a code of length 17 over Z27 who´s minimum homogenous weight is 29.

Homogenous weight enumerator: w(x)=1x^0+150x^29+202x^30+1374x^32+752x^33+486x^34+2646x^35+726x^36+192x^38+12x^39+12x^41+4x^42+2x^45+2x^48

The gray image is a code over GF(3) with n=153, k=8 and d=87.
This code was found by Heurico 1.16 in 0.0356 seconds.