The generator matrix

 1  0  1  1  1 12  2  1  1  1  1
 0  1  1 12 11  1  4  0  0  0  0
 0  0  2  6  4  6  2  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  0

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

Homogenous weight enumerator: w(x)=1x^0+100x^4+128x^5+736x^6+384x^7+1598x^8+3328x^9+11880x^10+29184x^11+11964x^12+3328x^13+1520x^14+384x^15+793x^16+128x^17+72x^18+8x^20

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 0.554 seconds.