The generator matrix

 1  0  0  0  0  1  1  1  1  1  3  6  1  3
 0  1  0  0  0  6  1  7  6  8  1  1  0  1
 0  0  1  0  0  7  8  4  3  6  5  2  4  0
 0  0  0  1  0  5  8  1  7  0  3  2  3  1
 0  0  0  0  1  5  1  6  8  2  4  3  4  7

generates a code of length 14 over Z9 who´s minimum homogenous weight is 19.

Homogenous weight enumerator: w(x)=1x^0+288x^19+618x^20+638x^21+1398x^22+2070x^23+2078x^24+4488x^25+6168x^26+5624x^27+8802x^28+8580x^29+5510x^30+5640x^31+3996x^32+1430x^33+1254x^34+438x^35+18x^36+8x^39+2x^42

The gray image is a code over GF(3) with n=42, k=10 and d=19.
This code was found by Heurico 1.13 in 372 seconds.