The generator matrix

 1  0  1  1  1  1  1  0  1  1  1  1 15  1 24  3  3  3
 0  1  1 26 25 18 26  1 21 16 20 21  1 19  1  3 21 18
 0  0 24  0  3 21 24 24 15 18 24 18 12 15 15  3  0 12
 0  0  0  9  0 18  0  9  9 18  9  9 18 18  0  0  0  9
 0  0  0  0  9  9  9  0  0 18 18  9 18  0 18  0 18  9

generates a code of length 18 over Z27 who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+252x^28+90x^29+612x^30+1368x^31+2772x^32+1980x^33+6066x^34+10908x^35+8286x^36+10116x^37+10818x^38+2772x^39+2466x^40+198x^41+180x^42+144x^43+18x^48+2x^54

The gray image is a code over GF(3) with n=162, k=10 and d=84.
This code was found by Heurico 1.16 in 80.2 seconds.