The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+76x^4+40x^5+273x^6+304x^7+758x^8+984x^9+2988x^10+21920x^11+2988x^12+984x^13+758x^14+304x^15+273x^16+40x^17+76x^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 0.321 seconds.