The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+265x^16+288x^17+1136x^18+704x^19+1196x^20+288x^21+176x^22+38x^24+4x^28

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 44 seconds.