The generator matrix

 1  0  1  1  1  1  1  1 18 24  1  1  1 24  1  1  1 12  1  1  0
 0  1  1 26 18 17  0 16  1  1 22 21  1  1  6 25 24  1 23 13  1
 0  0 24  9 21 12  6 15 12  9  3  0 21  6  6  3  9  9 24 18 15

generates a code of length 21 over Z27 who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+486x^38+390x^39+486x^40+1428x^41+918x^42+972x^43+1386x^44+384x^45+72x^47+6x^48+30x^50+2x^54

The gray image is a code over GF(3) with n=189, k=8 and d=114.
This code was found by Heurico 1.16 in 0.236 seconds.