The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+56x^6+222x^7+835x^8+1900x^9+6497x^10+13668x^11+6618x^12+1920x^13+770x^14+206x^15+66x^16+4x^17+5x^18

The gray image is a code over GF(2) with n=88, k=15 and d=24.
This code was found by Heurico 1.16 in 0.68 seconds.