The generator matrix

 1  0  0  1  1  1  1  1  1 15  1  1  9  1  1 12  1  1 24  1  1  1
 0  1  0 15  9 16  1 14  2  1  7 26  1 12 10  0  8 11  1 15 22  3
 0  0  1 16 17 14  1 21 10 16  6  8 26 24 20  1 12  7  3 11 19  3

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

Homogenous weight enumerator: w(x)=1x^0+504x^39+678x^40+1458x^41+2502x^42+2580x^43+3420x^44+3534x^45+2538x^46+1422x^47+972x^48+24x^49+18x^50+18x^51+12x^52+2x^54

The gray image is a code over GF(3) with n=198, k=9 and d=117.
This code was found by Heurico 1.16 in 0.234 seconds.