The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+95x^6+661x^8+768x^9+2823x^10+7680x^11+2835x^12+768x^13+661x^14+86x^16+5x^18+1x^20

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 2.69 seconds.