The generator matrix

 1  1  1  1  2  1  1  2  2  2  1
 0  2  0  6  6  0  6  6 14  4  0
 0  0 12  0  0  4  4  4  0  8  0
 0  0  0 12  0  4 12  4 12 12  0
 0  0  0  0  8  0  0  8  8  8  0
 0  0  0  0  0  8  8  0  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+43x^6+88x^7+224x^8+768x^9+1012x^10+3920x^11+1012x^12+768x^13+224x^14+88x^15+43x^16+1x^22

The gray image is a code over GF(2) with n=88, k=13 and d=24.
This code was found by Heurico 1.16 in 0.0329 seconds.