The generator matrix

 1  1  1  1  1  1  2  1  1  2  2
 0 12  0  0  0  0  8  4  8  4  4
 0  0 12  0  0  0  0  4 12 12  8
 0  0  0 12  0  0  4  8  4 12  8
 0  0  0  0 12  0  4 12  8  0  4
 0  0  0  0  0 12  4  4  0  4  8

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

Homogenous weight enumerator: w(x)=1x^0+184x^6+658x^8+384x^9+2208x^10+9472x^11+2264x^12+384x^13+664x^14+149x^16+16x^18

The gray image is a code over GF(2) with n=88, k=14 and d=24.
This code was found by Heurico 1.16 in 0.227 seconds.