The generator matrix

 1  0  1  1  1  1  1 21  1  1  1 24  1  1  1  0  1 21  1  1  1  1  1  1
 0  1  7 26 21  4 20  1 24 19 23  1  0 16 20  1 21  1 24 26 21 21 26  0
 0  0  9  0  0  0 18 18  0 18  9  9  0 18  0  9  9  9  9  0  0  0  9  0
 0  0  0  9  0  0 18  9 18  9  0  9  9 18  9  0  9  9 18  9  9 18 18  0
 0  0  0  0 18  0 18  9  9  0  9 18  9  0  0 18  9  9  0  9  0 18  9  0
 0  0  0  0  0  9  0  9  9 18 18  9 18 18 18  0  0  9  9  9  9  0  9  0

generates a code of length 24 over Z27 who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+50x^36+218x^39+54x^40+72x^41+1010x^42+648x^43+2682x^44+2616x^45+7452x^46+10152x^47+3820x^48+14040x^49+10242x^50+4088x^51+1134x^52+180x^53+422x^54+118x^57+32x^60+16x^63+2x^66

The gray image is a code over GF(3) with n=216, k=10 and d=108.
This code was found by Heurico 1.16 in 2.54 seconds.