The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+43x^6+88x^7+277x^8+608x^9+1715x^10+2704x^11+1747x^12+608x^13+281x^14+88x^15+22x^16+9x^18+1x^20

The gray image is a code over GF(2) with n=88, k=13 and d=24.
This code was found by Heurico 1.16 in 0.0376 seconds.