The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+28x^30+54x^31+66x^32+106x^33+84x^34+78x^35+840x^36+114x^37+3096x^38+1516x^39+126x^40+114x^41+136x^42+96x^43+48x^44+30x^45+12x^46+4x^48+10x^51+2x^54

The gray image is a code over GF(3) with n=171, k=8 and d=90.
This code was found by Heurico 1.16 in 0.0556 seconds.