The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+78x^11+449x^12+740x^13+1645x^14+646x^15+412x^16+96x^17+19x^18+8x^19+2x^20

The gray image is a code over GF(2) with n=112, k=12 and d=44.
This code was found by Heurico 1.16 in 0.0219 seconds.