The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  0  1  3  1  1
 0  3  0  9 24 21  3 15 24  9  9 15 12 15 24  6  3 24  3 21 21
 0  0  3 15  9  6  3 21 15  0  6 18 24 12 24 12  0 18 12 18 15

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

Homogenous weight enumerator: w(x)=1x^0+150x^38+102x^39+216x^40+234x^41+714x^42+432x^43+180x^44+38x^45+66x^47+34x^48+18x^50+2x^57

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 0.0174 seconds.