The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+74x^36+54x^38+210x^39+216x^40+72x^41+252x^42+864x^43+3132x^44+332x^45+864x^46+108x^47+234x^48+36x^50+84x^51+16x^54+6x^57+6x^60

The gray image is a code over GF(3) with n=198, k=8 and d=108.
This code was found by Heurico 1.16 in 0.0687 seconds.