The generator matrix

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

generates a code of length 22 over Z27 who´s minimum homogenous weight is 39.

Homogenous weight enumerator: w(x)=1x^0+10x^39+108x^40+108x^41+22x^42+84x^43+1620x^44+32x^45+54x^46+12x^48+72x^49+54x^50+2x^51+6x^52+2x^66

The gray image is a code over GF(3) with n=198, k=7 and d=117.
This code was found by Heurico 1.16 in 0.0111 seconds.