The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+88x^10+168x^11+500x^12+730x^13+1112x^14+752x^15+531x^16+116x^17+64x^18+24x^19+8x^20+2x^21

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 0.0374 seconds.