The generator matrix

 1  1  1  1  1  1  1  1  1  1  2  2  2  1
 0 12  0  4  0  8 12 12  0  8  0  4  4  0
 0  0 12  4  0  4  4  8  0  4 12  4 12  0
 0  0  0  8  0  0  8  0  8  8  0  0  8  0
 0  0  0  0  8  8  8  8  8  8  0  0  8  8

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

Homogenous weight enumerator: w(x)=1x^0+26x^10+38x^11+43x^12+92x^13+629x^14+88x^15+45x^16+36x^17+16x^18+2x^19+7x^20+1x^22

The gray image is a code over GF(2) with n=112, k=10 and d=40.
This code was found by Heurico 1.16 in 0.00432 seconds.