The generator matrix

 1  0  1  1  1  1  1  0  1  1  1  1  1
 0  1  1  8  0  1  8  1  0  7  8  0  7
 0  0  6  0  0  0  0  0  3  6  6  3  6
 0  0  0  3  0  0  0  3  6  6  3  0  3
 0  0  0  0  3  0  0  6  6  0  6  6  0
 0  0  0  0  0  6  0  6  6  3  6  3  3
 0  0  0  0  0  0  3  3  3  3  0  6  3

generates a code of length 13 over Z9 who´s minimum homogenous weight is 15.

Homogenous weight enumerator: w(x)=1x^0+88x^15+280x^18+162x^20+1090x^21+486x^22+972x^23+3100x^24+1944x^25+1944x^26+3936x^27+1944x^28+1296x^29+2140x^30+214x^33+76x^36+10x^39

The gray image is a code over GF(3) with n=39, k=9 and d=15.
This code was found by Heurico 1.16 in 0.284 seconds.