The generator matrix

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

generates a code of length 20 over Z27 who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+48x^30+36x^31+268x^33+90x^34+216x^35+1098x^36+360x^37+3240x^38+2940x^39+450x^40+6480x^41+3042x^42+396x^43+270x^44+492x^45+126x^46+90x^48+36x^51+2x^54+2x^60

The gray image is a code over GF(3) with n=180, k=9 and d=90.
This code was found by Heurico 1.16 in 0.458 seconds.