The generator matrix

 1  0  1  1  1  6  1  1  0  1  1
 0  1 11  6  1  1  0 11  1  0  8
 0  0 12  0  0  0  0  4  8 12  4
 0  0  0 12  0  0  4  4  8  4  0
 0  0  0  0  4  0  4  8 12  4  8
 0  0  0  0  0 12  8 12 12 12  8

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

Homogenous weight enumerator: w(x)=1x^0+188x^6+72x^7+1158x^8+3168x^9+16040x^10+24240x^11+16096x^12+3168x^13+1164x^14+72x^15+153x^16+16x^18

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 1.43 seconds.