The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+60x^4+129x^6+128x^7+390x^8+1280x^9+444x^10+11520x^11+444x^12+1280x^13+390x^14+128x^15+129x^16+60x^18+1x^22

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 0.0833 seconds.