The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+100x^11+150x^12+544x^13+480x^14+536x^15+127x^16+96x^17+4x^19+10x^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 0.0116 seconds.