The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  3  3  1  1  3
 0  3 24  0 21 24  0 21 24  9  0 18 21 24  0  9 21
 0  0  9  0  0  0  9 18  9  9  9  9  9  0  0  0  9
 0  0  0  9  0  9  9 18  9  0 18  9 18 18  9  0  0
 0  0  0  0 18 18  9 18 18  9 18 18  0 18 18  9 18

generates a code of length 17 over Z27 who´s minimum homogenous weight is 27.

Homogenous weight enumerator: w(x)=1x^0+84x^27+54x^28+342x^30+324x^31+486x^32+742x^33+2106x^34+972x^35+848x^36+432x^37+124x^39+32x^42+12x^45+2x^48

The gray image is a code over GF(3) with n=153, k=8 and d=81.
This code was found by Heurico 1.16 in 0.0584 seconds.