The generator matrix

 1  0  0  1  1  1  2  1  1  8  1  1 14 12 10  1
 0  1  0  4  5  7  1  2  6  1  9 15  1  0  1  8
 0  0  1  7  3  2  1  9 14  2  5 12 11  1 10  0

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

Homogenous weight enumerator: w(x)=1x^0+116x^13+404x^14+918x^15+1381x^16+710x^17+370x^18+162x^19+18x^20+14x^21+2x^22

The gray image is a code over GF(2) with n=128, k=12 and d=52.
This code was found by Heurico 1.16 in 0.031 seconds.