The generator matrix

 1  0  1  1  1  4  1  8  1  1  1
 0  1  1  0  3  1 11  4 11  3  0
 0  0  2  0  2  4  0  2  2  6  8
 0  0  0  2  2  6  0  8  6  4  0
 0  0  0  0  4  0  4  8  0 12  8

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

Homogenous weight enumerator: w(x)=1x^0+55x^6+306x^7+1299x^8+4350x^9+13725x^10+26004x^11+13807x^12+4380x^13+1257x^14+282x^15+60x^16+6x^17+3x^18+1x^20

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 1.73 seconds.