The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+78x^10+32x^11+710x^12+480x^13+1510x^14+480x^15+687x^16+32x^17+74x^18+10x^20+2x^22

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 0.0368 seconds.