The generator matrix

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

generates a code of length 19 over Z27 who´s minimum homogenous weight is 27.

Homogenous weight enumerator: w(x)=1x^0+68x^27+112x^30+144x^31+240x^33+1152x^34+570x^36+3456x^37+8748x^38+564x^39+3636x^40+396x^42+360x^43+192x^45+24x^48+12x^51+6x^54+2x^57

The gray image is a code over GF(3) with n=171, k=9 and d=81.
This code was found by Heurico 1.16 in 0.401 seconds.