The generator matrix

 1  0  1  1  1 14  1 12  1  1  6  1  1  1 10  1  8  1  2
 0  1 11  6 13  1 12  1  7 14  1  5  1 10  1  8  1  9 10
 0  0 12  0  4  4  8  0  4 12  0  8  4  0  8 12  4  0  8
 0  0  0  8  0  8  0  0  8  8  8  8  8  8  8  8  8  8  0
 0  0  0  0  8  8  8  8  8  0  0  0  0  8  8  0  8  8  8

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

Homogenous weight enumerator: w(x)=1x^0+249x^16+256x^17+1304x^18+512x^19+1304x^20+256x^21+160x^22+46x^24+8x^26

The gray image is a code over GF(2) with n=152, k=12 and d=64.
This code was found by Heurico 1.16 in 0.068 seconds.