The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+50x^10+32x^11+194x^12+480x^13+542x^14+480x^15+183x^16+32x^17+46x^18+6x^20+2x^22

The gray image is a code over GF(2) with n=112, k=11 and d=40.
This code was found by Heurico 1.16 in 0.0112 seconds.