The generator matrix

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

generates a code of length 19 over Z27 who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+678x^30+846x^31+4218x^32+7730x^33+19236x^34+21342x^35+68748x^36+71040x^37+95064x^38+125372x^39+71460x^40+29334x^41+13888x^42+2130x^43+204x^44+92x^45+42x^46+12x^47+4x^48

The gray image is a code over GF(3) with n=171, k=12 and d=90.
This code was found by Heurico 1.16 in 111 seconds.