The generator matrix

 1  0  1  1  1  1  1 18  1 24  1  0  1 15  0  1  1  1  1
 0  1  1 26  0 25 17  1 18  1 25  1 23  1  1 23 16  2  0
 0  0 24  0  9  3 21  3 21  6 12 21 18  6  9 12  0 15  9
 0  0  0  3 15  9 15 15  9  0  6 21 15 21 24 12 24  6 18

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

Homogenous weight enumerator: w(x)=1x^0+76x^30+132x^31+552x^32+802x^33+1962x^34+2178x^35+7764x^36+6126x^37+13578x^38+14578x^39+6492x^40+2994x^41+1220x^42+306x^43+126x^44+98x^45+48x^46+12x^47+4x^48

The gray image is a code over GF(3) with n=171, k=10 and d=90.
This code was found by Heurico 1.16 in 1.99 seconds.