The generator matrix

 1  1  1  1  1  1  1  1  2  2  1  2  2  2  1
 0  2  0  0  4 14 10 10  4  2  4  4  2  2 10
 0  0  2  0  6 14 14  4  0  0  2  6  4  6  0
 0  0  0  2  2 12 14  2  2  2  0  2  6  4  6
 0  0  0  0  8  0  0  0  0  8  8  0  0  8  8
 0  0  0  0  0  8  0  0  0  8  8  8  8  8  0
 0  0  0  0  0  0  8  0  8  8  8  8  0  0  0

generates a code of length 15 over Z16 who´s minimum homogenous weight is 9.

Homogenous weight enumerator: w(x)=1x^0+62x^9+261x^10+884x^11+2332x^12+6282x^13+12744x^14+20344x^15+12805x^16+6322x^17+2338x^18+852x^19+220x^20+70x^21+16x^22+2x^24+1x^26

The gray image is a code over GF(2) with n=120, k=16 and d=36.
This code was found by Heurico 1.16 in 4.41 seconds.