The generator matrix

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

generates a code of length 14 over Z16 who´s minimum homogenous weight is 11.

Homogenous weight enumerator: w(x)=1x^0+50x^11+284x^12+298x^13+846x^14+222x^15+265x^16+62x^17+10x^18+8x^19+2x^20

The gray image is a code over GF(2) with n=112, k=11 and d=44.
This code was found by Heurico 1.16 in 0.00805 seconds.