The generator matrix

 1  1  1  1  2  2  1  2  1  1  1
 0  2  0  2  0  2  8 14  8  4  0
 0  0  2  2  2  2  0  0  0  6  0
 0  0  0  4  0  0  4  8  8  4  8
 0  0  0  0  4  0  4  4  8  8  0
 0  0  0  0  0  4  4  8  4  0  0

generates a code of length 11 over Z16 who´s minimum homogenous weight is 5.

Homogenous weight enumerator: w(x)=1x^0+40x^5+120x^6+496x^7+1295x^8+5088x^9+12902x^10+25600x^11+12959x^12+5128x^13+1276x^14+464x^15+112x^16+48x^17+6x^18+1x^20

The gray image is a code over GF(2) with n=88, k=16 and d=20.
This code was found by Heurico 1.16 in 1.27 seconds.