The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+118x^36+120x^37+450x^38+356x^39+396x^40+516x^41+2396x^42+1080x^43+6678x^44+4510x^45+1068x^46+828x^47+488x^48+216x^49+240x^50+140x^51+36x^52+36x^53+6x^54+2x^57+2x^60

The gray image is a code over GF(3) with n=198, k=9 and d=108.
This code was found by Heurico 1.16 in 0.508 seconds.