The generator matrix

 1  0  1  1  1  1  1  0  1  1  1 15  1  1 24  0  1  1  1
 0  1  1 26 16 21 17  1  0 20 25  1  3  4  1  0 24 20 17
 0  0 24  0 18 18 21 15 24 15  3 21 12 18 18  3 15 15  3
 0  0  0  9 18  9  9  0 18 18 18 18  9  0  9 18  9  0 18

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

Homogenous weight enumerator: w(x)=1x^0+276x^32+272x^33+738x^34+1188x^35+1916x^36+2484x^37+4662x^38+3494x^39+2538x^40+1560x^41+344x^42+72x^43+90x^44+42x^45+4x^48+2x^51

The gray image is a code over GF(3) with n=171, k=9 and d=96.
This code was found by Heurico 1.16 in 0.247 seconds.