The generator matrix

 1  0  1  1  1  0  1  1  2  1  1
 0  1  3  6  5  1  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  0

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

Homogenous weight enumerator: w(x)=1x^0+36x^4+96x^5+32x^6+288x^7+190x^8+800x^9+2792x^10+7872x^11+2876x^12+800x^13+112x^14+288x^15+89x^16+96x^17+8x^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 0.0394 seconds.