The generator matrix

 1  0  1  1  1 12  1  1  4 10  1  1  8  1
 0  1  1  0 11  1  2 13  1  1 12 13  4  8
 0  0  2  6  0  2  2  4  4  6 12 14  0  8
 0  0  0 12 12 12  8  0  8  0 12  4  4 12

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

Homogenous weight enumerator: w(x)=1x^0+38x^10+306x^11+840x^12+1720x^13+2364x^14+1804x^15+787x^16+248x^17+62x^18+18x^19+4x^20

The gray image is a code over GF(2) with n=112, k=13 and d=40.
This code was found by Heurico 1.16 in 0.0937 seconds.