The generator matrix

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

generates a code of length 18 over Z27 who´s minimum homogenous weight is 27.

Homogenous weight enumerator: w(x)=1x^0+44x^27+144x^28+72x^29+390x^30+174x^31+720x^32+680x^33+1734x^34+2430x^35+5632x^36+3330x^37+2412x^38+988x^39+330x^40+198x^41+252x^42+120x^43+20x^45+8x^48+4x^51

The gray image is a code over GF(3) with n=162, k=9 and d=81.
This code was found by Heurico 1.16 in 0.375 seconds.