The generator matrix

 1  1  1  1  2  2  2  1  1  1  1
 0  2  0 14  6  6  0  0  0  0  0
 0  0 12  4  0 12 12  0  0  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  0  0

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

Homogenous weight enumerator: w(x)=1x^0+68x^4+224x^6+638x^8+640x^9+3144x^10+6912x^11+3228x^12+640x^13+560x^14+281x^16+40x^18+8x^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 0.0635 seconds.