The generator matrix

 1  1  1  1  1  1  1  1  2  2  2  4  4  4  1  2  1  1  1
 0 12  0  4  0  0  4 12  0  4 12  8  4 12  0  4  4  4  0
 0  0 12  4  0 12  4  0 12  4  0  4  4  8  8  4  4  4  0
 0  0  0  8  0  0  0  0  0  0  0  0  0  0  8  8  8  8  8
 0  0  0  0  8  0  0  0  0  0  0  8  0  8  0  8  0  0  8
 0  0  0  0  0  8  0  0  0  0  0  8  8  0  8  0  8  8  0
 0  0  0  0  0  0  8  0  0  0  8  0  0  8  8  0  0  8  0
 0  0  0  0  0  0  0  8  0  0  8  0  8  0  8  8  0  8  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  0  8  8  0  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+34x^10+8x^11+98x^12+160x^13+366x^14+672x^15+1000x^16+4960x^17+2596x^18+12976x^19+2596x^20+4960x^21+1004x^22+672x^23+372x^24+160x^25+90x^26+8x^27+26x^28+6x^30+3x^32

The gray image is a code over GF(2) with n=152, k=15 and d=40.
This code was found by Heurico 1.16 in 1.4 seconds.