The generator matrix

 1  1  1  1  1  1  2  1  1  4  2  1  1  2  2  1  1  1  1
 0 12  0 12  0 12 12  0 12  4 12  0 12 12 12  0  0  0  0
 0  0  8  0  0  0  0  0  0  0  0  0  8  8  8  0  0  8  0
 0  0  0  8  0  0  0  0  0  0  0  8  8  8  0  0  8  8  0
 0  0  0  0  8  0  0  0  0  0  0  8  0  8  8  8  8  0  0
 0  0  0  0  0  8  0  0  0  0  8  0  0  8  8  8  0  0  0
 0  0  0  0  0  0  8  0  0  0  8  0  8  0  8  0  8  8  0
 0  0  0  0  0  0  0  8  0  0  0  8  8  0  8  8  0  0  8
 0  0  0  0  0  0  0  0  8  0  8  8  0  8  0  0  8  8  8
 0  0  0  0  0  0  0  0  0  8  8  8  0  0  8  0  0  8  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+90x^12+252x^14+128x^15+606x^16+512x^17+4100x^18+4864x^19+4180x^20+512x^21+680x^22+128x^23+208x^24+50x^26+34x^28+12x^30+1x^32

The gray image is a code over GF(2) with n=152, k=14 and d=40.
This code was found by Heurico 1.16 in 0.449 seconds.