The generator matrix

 1  0  0  1  1 15  1  1  1  1  1  1 18 21  1  1  1  1 21  1  1  1
 0  1  0  0 21  1 25  1 17 14 26 24  1  1  2 25 23 22  1 17  4 21
 0  0  1  7 14 16  2  1 21 16 26  6  7 14  1 10 14 21  6 20  8 17
 0  0  0  9 18  0  9  9  0 18  9 18  9  9  0 18  9 18 18 18  0  0

generates a code of length 22 over Z27 who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+732x^38+994x^39+2808x^40+3714x^41+4960x^42+8856x^43+11940x^44+8864x^45+9504x^46+4830x^47+1398x^48+216x^49+156x^50+60x^51+12x^53+2x^57+2x^60

The gray image is a code over GF(3) with n=198, k=10 and d=114.
This code was found by Heurico 1.16 in 6.42 seconds.