The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+62x^10+16x^11+198x^12+368x^13+774x^14+368x^15+175x^16+16x^17+58x^18+10x^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 0.329 seconds.