The generator matrix

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

generates a code of length 11 over Z16 who´s minimum homogenous weight is 4.

Homogenous weight enumerator: w(x)=1x^0+63x^4+56x^6+754x^8+512x^9+1048x^10+11264x^11+1510x^12+512x^13+424x^14+221x^16+8x^18+11x^20

The gray image is a code over GF(2) with n=88, k=14 and d=16.
This code was found by Heurico 1.16 in 0.122 seconds.