The generator matrix

 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  9  0  9 18  9  0  9  9
 0  0  9  0  0  9 18  0 18  0 18  9 18 18  0  9 18  9
 0  0  0  9  0 18 18  9  0  9  9 18  0 18  0  0 18 18
 0  0  0  0  9 18 18 18 18 18 18  0  0 18 18  9  0  0

generates a code of length 18 over Z27 who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+52x^30+76x^33+162x^34+1480x^36+324x^37+40x^39+28x^42+4x^45+16x^48+4x^51

The gray image is a code over GF(3) with n=162, k=7 and d=90.
This code was found by Heurico 1.16 in 0.0652 seconds.