The generator matrix

 1  0  0  1  1  1 14  1  1 14  1
 0  1  0  1  6 15  1  5 14  1  0
 0  0  1  1 11  2  3  3  0  3  0
 0  0  0 12  0  8  0 12  4 12  0
 0  0  0  0 12 12  4 12  8  0  0

generates a code of length 11 over Z16 who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+82x^6+240x^7+1564x^8+5124x^9+12684x^10+26128x^11+12700x^12+5144x^13+1562x^14+224x^15+71x^16+4x^17+8x^18

The gray image is a code over GF(2) with n=88, k=16 and d=24.
This code was found by Heurico 1.16 in 1.42 seconds.