The generator matrix

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

generates a code of length 19 over Z27 who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+150x^32+110x^33+372x^35+722x^36+3330x^38+1184x^39+372x^41+124x^42+150x^44+40x^45+4x^48+2x^54

The gray image is a code over GF(3) with n=171, k=8 and d=96.
This code was found by Heurico 1.16 in 0.129 seconds.