The generator matrix

 1  0  1  1  1  1  1 21  1  1  1 24  1  1  1  0  1  1  1
 0  1  7 26 21  4 20  1 24 19 23  1  0 16 20  1  0  0  0
 0  0  9  0  0  0 18 18  0 18  9  9  0 18  0  9  0 18  0
 0  0  0  9  0  0 18  9 18  9  0  9  9 18  9  0  0  0  0
 0  0  0  0 18  0 18  9  9  0  9 18  9  0  0 18 18  9  0
 0  0  0  0  0  9  0  9  9 18 18  9 18 18 18  0 18 18  9

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

Homogenous weight enumerator: w(x)=1x^0+44x^27+18x^28+146x^30+180x^31+960x^33+2178x^34+13050x^36+7272x^37+25896x^39+7272x^40+1242x^42+576x^43+162x^45+36x^48+12x^51+4x^57

The gray image is a code over GF(3) with n=171, k=10 and d=81.
This code was found by Heurico 1.16 in 1.73 seconds.