The generator matrix

 1  0  1  1  1  1  1 21  1  1  1 24  1  1  1  0  1  1  1  1  1
 0  1  7 26  4 21 20  1 24 19 23  1  4  0 26  1 21 24  9 16 18
 0  0  9  0 18 18  9  9  0 18  0  0  9 18  9  9  0 18  9  0  9

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

Homogenous weight enumerator: w(x)=1x^0+132x^38+10x^39+408x^40+462x^41+8x^42+624x^43+480x^44+48x^46+6x^47+2x^48+4x^51+2x^54

The gray image is a code over GF(3) with n=189, k=7 and d=114.
This code was found by Heurico 1.16 in 0.00611 seconds.