The generator matrix

 1  1  1  1  2  0  1  1  2  1  1  1  1  1
 0  2 12  6  6  2  0  6  6  0  0  0  0  0
 0  0  8  0  0  0  0  0  0  0  0  8  0  8
 0  0  0  8  0  0  0  0  0  0  0  8  8  8
 0  0  0  0  8  0  0  0  0  0  0  8  8  0
 0  0  0  0  0  8  0  0  0  0  8  8  0  0
 0  0  0  0  0  0  8  0  0  0  8  0  8  0
 0  0  0  0  0  0  0  8  0  0  8  0  8  8
 0  0  0  0  0  0  0  0  8  0  8  0  0  8
 0  0  0  0  0  0  0  0  0  8  8  8  0  8

generates a code of length 14 over Z16 who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+32x^6+16x^7+109x^8+112x^9+224x^10+592x^11+2440x^12+6448x^13+12800x^14+6448x^15+2475x^16+592x^17+224x^18+112x^19+88x^20+16x^21+32x^22+7x^24

The gray image is a code over GF(2) with n=112, k=15 and d=24.
This code was found by Heurico 1.16 in 0.41 seconds.