The generator matrix

 1  0  1  1  1  0  2  1  1  2  1
 0  1 11 14  5  1  0  0  0  0  0
 0  0 12  4  0 12 12  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+128x^5+257x^6+640x^7+1030x^8+3712x^9+12988x^10+27904x^11+12988x^12+3712x^13+1030x^14+640x^15+257x^16+128x^17+60x^18+1x^22

The gray image is a code over GF(2) with n=88, k=16 and d=16.
This code was found by Heurico 1.16 in 0.593 seconds.