The generator matrix

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

generates a code of length 14 over Z16 who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+62x^8+32x^9+176x^10+160x^11+616x^12+320x^13+5440x^14+320x^15+661x^16+160x^17+144x^18+32x^19+64x^20+4x^24

The gray image is a code over GF(2) with n=112, k=13 and d=32.
This code was found by Heurico 1.16 in 0.0816 seconds.