The generator matrix

 1  0  1  1  1  1  1  0  1  1  1 24  1  1  1  1  1 18  1
 0  1  1 26 25 18 26  1 21 16 20  1  1  4  2 22 24  1 20
 0  0 24  0  3 21 24 24 15 18 15  9  3 18  3 12 15  3 24
 0  0  0  9  0 18  0  9  9  0 18  9 18 18  9  9  0  0  9
 0  0  0  0  9  9  9  0  0 18 18  0 18  9 18  9  0  0 18

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

Homogenous weight enumerator: w(x)=1x^0+104x^30+132x^31+474x^32+508x^33+2826x^34+1848x^35+5738x^36+10776x^37+11052x^38+11040x^39+10794x^40+2532x^41+692x^42+216x^43+132x^44+120x^45+42x^46+16x^48+6x^51

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 1.96 seconds.