The generator matrix

 1  0  1  1  1 14  1  1  1  1  1
 0  1 11  6  1  1  8  3 14  8  0
 0  0 12  0  0  4  0  8 12  8  0
 0  0  0 12  0  4  8  8  8  4  8
 0  0  0  0  4  4  4  0  8  8  8

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

Homogenous weight enumerator: w(x)=1x^0+21x^6+106x^7+154x^8+914x^9+3905x^10+6148x^11+3952x^12+932x^13+135x^14+82x^15+21x^16+10x^17+3x^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 0.12 seconds.