The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+146x^11+416x^12+818x^13+1368x^14+812x^15+363x^16+140x^17+24x^18+2x^19+4x^20+2x^21

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 0.0279 seconds.