The generator matrix

 1  0  1  1  1  4  1  1  1  1  1
 0  1  1  0 11  1 10  8  7 12  0
 0  0  2  6  0  2  6  0  2  2  4
 0  0  0 12  0  4  0  4 12  8  8
 0  0  0  0 12  4  8  8 12 12 12
 0  0  0  0  0  8  8  0  0  0  8

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

Homogenous weight enumerator: w(x)=1x^0+75x^6+340x^7+947x^8+3704x^9+14329x^10+26712x^11+14351x^12+3744x^13+949x^14+308x^15+60x^16+8x^17+7x^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 1.31 seconds.