The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  4  8  2
 0  2  0  2  8  0  6 12  6  4  6 10  2  0 14 12  4 12  4
 0  0  2  2  4  6  6  4  0  8  0  8 14 14 10 14  4  2  2
 0  0  0  8  8  8  0  8  8  0  0  8  0  0  8  0  0  8  0

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

Homogenous weight enumerator: w(x)=1x^0+172x^16+160x^17+480x^18+448x^19+460x^20+160x^21+144x^22+22x^24+1x^32

The gray image is a code over GF(2) with n=152, k=11 and d=64.
This code was found by Heurico 1.16 in 0.0196 seconds.