The generator matrix

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

generates a code of length 14 over Z9 who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+36x^20+90x^21+264x^22+162x^23+302x^24+546x^25+396x^26+808x^27+1152x^28+558x^29+788x^30+834x^31+270x^32+166x^33+120x^34+36x^35+28x^36+4x^39

The gray image is a code over GF(3) with n=42, k=8 and d=20.
This code was found by Heurico 1.16 in 0.652 seconds.