The generator matrix

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

generates a code of length 23 over Z27 who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+210x^38+170x^39+696x^41+602x^42+2862x^44+1232x^45+5832x^46+5220x^47+1232x^48+960x^50+326x^51+252x^53+52x^54+6x^56+20x^57+8x^60+2x^63

The gray image is a code over GF(3) with n=207, k=9 and d=114.
This code was found by Heurico 1.16 in 26 seconds.