The generator matrix

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

generates a code of length 20 over Z27 who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+108x^34+96x^35+250x^36+144x^37+156x^38+202x^39+4806x^40+90x^41+76x^42+216x^43+102x^44+178x^45+72x^46+42x^47+20x^48+2x^60

The gray image is a code over GF(3) with n=180, k=8 and d=102.
This code was found by Heurico 1.16 in 0.198 seconds.