The generator matrix

 1  1  1  1  1  1  1  1  1  1  2  1  1  2  2  1  1  1  1
 0  8  0  0  0  0  0  0  0  0  0  0  8  8  8  0  0  0  8
 0  0  8  0  0  0  0  0  0  0  0  8  8  8  0  0  8  0  8
 0  0  0  8  0  0  0  0  0  0  0  8  0  8  8  8  0  8  0
 0  0  0  0  8  0  0  0  0  0  0  8  8  0  8  8  8  8  0
 0  0  0  0  0  8  0  0  0  0  8  8  8  8  8  0  0  8  0
 0  0  0  0  0  0  8  0  0  0  8  0  8  0  8  0  8  0  0
 0  0  0  0  0  0  0  8  0  0  8  0  8  8  0  8  0  8  0
 0  0  0  0  0  0  0  0  8  0  8  8  0  8  0  8  0  0  0
 0  0  0  0  0  0  0  0  0  8  8  8  0  0  8  8  8  0  0

generates a code of length 19 over Z16 who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+26x^10+70x^12+106x^14+256x^16+540x^18+6144x^19+580x^20+300x^22+92x^24+42x^26+22x^28+10x^30+3x^32

The gray image is a code over GF(2) with n=152, k=13 and d=40.
This code was found by Heurico 1.16 in 0.0888 seconds.