The generator matrix

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

generates a code of length 19 over Z27 who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+54x^24+140x^27+182x^30+264x^33+1786x^36+13122x^38+3320x^39+384x^42+244x^45+116x^48+54x^51+16x^54

The gray image is a code over GF(3) with n=171, k=9 and d=72.
This code was found by Heurico 1.16 in 0.445 seconds.