The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  3  1  1
 0  9  0  0  0  0  9 18 18  0  0  9  9  9  9  9  0 18  0 18  9
 0  0  9  0  0  9 18  0 18  0  9  9 18 18  9  9  9  9  9 18 18
 0  0  0  9  0 18 18  9  0  9  9  0  0  9  9  9  9  0 18  0 18
 0  0  0  0  9 18 18 18 18 18  0 18  0  0 18  0 18  0 18  9 18

generates a code of length 21 over Z27 who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+86x^36+26x^39+162x^40+1496x^42+324x^43+38x^45+20x^48+14x^51+10x^54+8x^57+2x^60

The gray image is a code over GF(3) with n=189, k=7 and d=108.
This code was found by Heurico 1.16 in 0.0444 seconds.