The generator matrix

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

generates a code of length 17 over Z27 who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+64x^24+24x^25+54x^26+80x^27+186x^28+864x^29+1068x^30+636x^31+15066x^32+4032x^33+1110x^34+29268x^35+3984x^36+840x^37+1404x^38+168x^39+120x^40+60x^42+12x^45+6x^48+2x^51

The gray image is a code over GF(3) with n=153, k=10 and d=72.
This code was found by Heurico 1.16 in 1.47 seconds.