The generator matrix

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

generates a code of length 22 over Z27 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+162x^40+338x^42+246x^43+648x^44+510x^45+144x^46+36x^48+54x^49+2x^51+42x^52+2x^54+2x^60

The gray image is a code over GF(3) with n=198, k=7 and d=120.
This code was found by Heurico 1.16 in 3.18 seconds.