The generator matrix

 1  0  0  1  1  1 15  1  1  1  3  1  1 21  1  1  1  1  0  1  1  1
 0  1  0  1 15 26  1 19 20 18  1 17 16  1 18 20 25 21  1 11 17 18
 0  0  1 26 16 26 22 19 21 20 23 19 15  9 22 12 15  2 23 25  8 21
 0  0  0 24 15  9  3 21  3  6 12 15 18 24 21  6 12  9  6  9  3 15

generates a code of length 22 over Z27 who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+304x^36+306x^37+1968x^38+3712x^39+5562x^40+10536x^41+21096x^42+19776x^43+34434x^44+38030x^45+20340x^46+14142x^47+5882x^48+630x^49+138x^50+214x^51+42x^52+18x^53+14x^54+2x^60

The gray image is a code over GF(3) with n=198, k=11 and d=108.
This code was found by Heurico 1.16 in 17 seconds.