The generator matrix

 1  0  1  1  1  0  1  1  1  1  1
 0  1  3  6  5  1  0  0  0  0  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  0

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

Homogenous weight enumerator: w(x)=1x^0+44x^4+96x^5+49x^6+384x^7+214x^8+1696x^9+4812x^10+18176x^11+4812x^12+1696x^13+214x^14+384x^15+49x^16+96x^17+44x^18+1x^22

The gray image is a code over GF(2) with n=88, k=15 and d=16.
This code was found by Heurico 1.16 in 0.153 seconds.