The generator matrix

 1  1  1  1  1  1  1  1  1  2  1
 0  2  0  0  0  2 14  2 12  4  4
 0  0  2  0  2  2  2  4  4  2  2
 0  0  0  2  2  4  2 10  0  0  4
 0  0  0  0  4  4 12 12  4  8  4
 0  0  0  0  0  8  0  8  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+132x^6+428x^7+1563x^8+3540x^9+10622x^10+33016x^11+10519x^12+3560x^13+1624x^14+412x^15+108x^16+4x^17+6x^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 13.8 seconds.