The generator matrix

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

generates a code of length 11 over Z16 who´s minimum homogenous weight is 5.

Homogenous weight enumerator: w(x)=1x^0+34x^5+83x^6+280x^7+573x^8+2794x^9+4451x^10+16320x^11+4483x^12+2774x^13+577x^14+296x^15+62x^16+30x^17+9x^18+1x^20

The gray image is a code over GF(2) with n=88, k=15 and d=20.
This code was found by Heurico 1.16 in 0.393 seconds.