The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  8  0  0  0  0  0  0  0  0  0  0  0  8  8  8  0  0  0
 0  0  8  0  0  0  0  0  0  0  0  0  8  8  8  0  0  0  0
 0  0  0  8  0  0  0  0  0  0  0  0  8  0  8  8  0  0  0
 0  0  0  0  8  0  0  0  0  0  0  0  8  8  0  8  0  0  0
 0  0  0  0  0  8  0  0  0  0  0  8  8  8  8  8  0  0  0
 0  0  0  0  0  0  8  0  0  0  0  8  0  0  8  8  0  0  0
 0  0  0  0  0  0  0  8  0  0  0  8  0  8  8  0  0  0  0
 0  0  0  0  0  0  0  0  8  0  0  8  0  8  0  8  0  0  0
 0  0  0  0  0  0  0  0  0  8  0  8  8  0  0  8  0  0  0
 0  0  0  0  0  0  0  0  0  0  8  8  8  0  8  0  0  0  0

generates a code of length 19 over Z16 who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+105x^8+280x^12+35x^14+435x^16+168x^18+14336x^19+168x^20+435x^22+35x^24+280x^26+105x^30+1x^38

The gray image is a code over GF(2) with n=152, k=14 and d=32.
This code was found by Heurico 1.16 in 0.262 seconds.