The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+36x^16+148x^17+226x^18+278x^19+161x^20+88x^21+45x^22+30x^23+10x^24+1x^26

The gray image is a code over GF(2) with n=152, k=10 and d=64.
This code was found by Heurico 1.16 in 0.00616 seconds.