The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+62x^6+172x^7+454x^8+1468x^9+3050x^10+5944x^11+3088x^12+1464x^13+466x^14+156x^15+41x^16+12x^17+6x^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 0.183 seconds.