The generator matrix

 1  0  0  1  1  1 14  1  4  6  4  1  1  1  1  2  1  1  1
 0  1  0  0 13  1  1  8  2  1  1  7  4 14  9  1  2  5  2
 0  0  1  3  7  4  7 14  1  5  2  7  1  3  5 12 10  4 12
 0  0  0  8  8  0  8  0  0  0  8  0  8  8  8  8  8  8  0

generates a code of length 19 over Z16 who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+383x^16+944x^17+1744x^18+2248x^19+1529x^20+864x^21+408x^22+40x^23+30x^24+1x^28

The gray image is a code over GF(2) with n=152, k=13 and d=64.
This code was found by Heurico 1.16 in 0.238 seconds.