The generator matrix

 1  1  1  1  1  1  1  1  2  2  2
 0  2  0  0  4 14 10 10  4  4  0
 0  0  2  0  6 14 14  4  0  4  4
 0  0  0  2  2 12 14  2  2  6  2
 0  0  0  0  8  0  0  8  0  8  0
 0  0  0  0  0  8  0  8  0  0  8
 0  0  0  0  0  0  8  8  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+180x^6+256x^7+2386x^8+3328x^9+13820x^10+25600x^11+13816x^12+3328x^13+2380x^14+256x^15+181x^16+4x^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 1.53 seconds.