The generator matrix

 1  0  0  0  1  1  1  1  1  1  1
 0  1  0  0  3  6  4  1  5 11  0
 0  0  1  0  1  4  3  2  7  3  0
 0  0  0  1  1  7  2  3  2  7  0
 0  0  0  0  8  8  8  0  0  0  0

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

Homogenous weight enumerator: w(x)=1x^0+87x^6+600x^7+3072x^8+9666x^9+28310x^10+47560x^11+28377x^12+9676x^13+3027x^14+592x^15+101x^16+2x^17+1x^20

The gray image is a code over GF(2) with n=88, k=17 and d=24.
This code was found by Heurico 1.16 in 9.3 seconds.