The generator matrix

 1  1  1  1  1  1  8  1  2  1  2  2  2  1
 0  2  0  2  0  8  4 10  0  2  2 10  4  0
 0  0  2  2 12 14  2  6  6  4  2  0  2  0
 0  0  0  8  0  0  8  0  8  8  8  0  0  8
 0  0  0  0  8  8  8  0  0  8  8  8  0  0

generates a code of length 14 over Z16 who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+44x^10+160x^11+416x^12+812x^13+1256x^14+788x^15+411x^16+148x^17+44x^18+12x^19+4x^20

The gray image is a code over GF(2) with n=112, k=12 and d=40.
This code was found by Heurico 1.16 in 0.0333 seconds.