The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+95x^6+486x^7+1503x^8+3826x^9+10141x^10+33340x^11+10263x^12+3876x^13+1441x^14+446x^15+104x^16+10x^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 2.43 seconds.