The generator matrix

 1  1  1  1  2  2  2  1  1  2  1
 0  2  0 14  6  6  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+76x^4+273x^6+128x^7+886x^8+2304x^9+4908x^10+15616x^11+4908x^12+2304x^13+886x^14+128x^15+273x^16+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 0.245 seconds.