The generator matrix

 1  0  1  1  1  6  1  1 12  1  1  6  1  1  0  1  1  1  1
 0  1  3  6  5  1 12  7  1 10  9  1  0  3  1  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  8  8  0  8  8  0  0
 0  0  0  0  0  0  8  0  0  0  8  8  8  0  0  0  0  8  0
 0  0  0  0  0  0  0  8  0  0  0  8  8  0  8  8  0  0  0
 0  0  0  0  0  0  0  0  8  0  8  0  8  0  8  0  8  8  8
 0  0  0  0  0  0  0  0  0  8  8  8  0  8  0  8  0  0  0

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

Homogenous weight enumerator: w(x)=1x^0+32x^10+106x^12+64x^13+338x^14+384x^15+1454x^16+5568x^17+17504x^18+14592x^19+17540x^20+5568x^21+1492x^22+384x^23+320x^24+64x^25+80x^26+34x^28+10x^30+1x^32

The gray image is a code over GF(2) with n=152, k=16 and d=40.
This code was found by Heurico 1.16 in 2.25 seconds.