The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  3  1
 0  3  0  9 24 21  3 15 24  9  9 15 12 12 12  0 18 24  9
 0  0  3 15  9  6  3 21 15  0  6 18 24  6 21 18 24  6 18

generates a code of length 19 over Z27 who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+42x^33+36x^34+66x^35+326x^36+60x^37+1020x^38+436x^39+48x^40+30x^41+54x^42+12x^43+18x^44+28x^45+6x^46+2x^48+2x^54

The gray image is a code over GF(3) with n=171, k=7 and d=99.
This code was found by Heurico 1.16 in 0.00745 seconds.