The generator matrix

 1  0  1  1  1  4  2  1  1  2  2
 0  1  1  0 11  1  2 10  2 14  6
 0  0  2  6  4  6  2  6  6  0  4
 0  0  0 12  0  4 12  0 12  4  4
 0  0  0  0  8  0  0  8  8  8  0
 0  0  0  0  0  8  0  8  8  8  8
 0  0  0  0  0  0  8  8  8  0  8

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

Homogenous weight enumerator: w(x)=1x^0+143x^6+240x^7+1733x^8+4672x^9+15527x^10+20896x^11+15539x^12+4672x^13+1733x^14+240x^15+134x^16+5x^18+1x^20

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 34.9 seconds.