The generator matrix

 1  0  1  1  1 12  1  1 14  1 14  1  1  8  8  1
 0  1  1  4  3  1 10 13  1 14  1  1  0  2  8  8
 0  0  2 10  8  6  6  4 10 12 12 14  4  6  2  8

generates a code of length 16 over Z16 who´s minimum homogenous weight is 13.

Homogenous weight enumerator: w(x)=1x^0+32x^13+330x^14+316x^15+771x^16+236x^17+276x^18+52x^19+28x^20+4x^21+2x^22

The gray image is a code over GF(2) with n=128, k=11 and d=52.
This code was found by Heurico 1.16 in 0.016 seconds.