The generator matrix

 1  0  0  1  1  1  1  1  1 24  1  1  0  1  1  1  1  1  1
 0  1  0 15  1 16 17  2  0  1 16 23  1 19 21 23  5  3  9
 0  0  1 25  1 15 20  3 23  4 14  4 23 22 17  8 15  7  0
 0  0  0 18 18  9  9  9 18  0  0  0  9  9  0 18  0  9 18

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

Homogenous weight enumerator: w(x)=1x^0+780x^32+712x^33+1440x^34+4362x^35+6268x^36+5292x^37+16254x^38+11614x^39+5346x^40+5718x^41+1038x^42+72x^43+102x^44+46x^45+2x^48+2x^51

The gray image is a code over GF(3) with n=171, k=10 and d=96.
This code was found by Heurico 1.16 in 1.66 seconds.