The generator matrix

 1  1  1  1  2  2  2  4  2  4  2
 0 12  0  4  0  4 12  8  8  8  0
 0  0 12  4 12  4  0  4  4  4  0
 0  0  0  8  0  0  0  8  0  8  0
 0  0  0  0  8  0  0  0  8  8  0
 0  0  0  0  0  8  0  8  8  0  0
 0  0  0  0  0  0  8  8  8  0  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+56x^7+149x^8+480x^9+307x^10+2000x^11+339x^12+480x^13+153x^14+56x^15+22x^16+9x^18+1x^20

The gray image is a code over GF(2) with n=88, k=12 and d=24.
This code was found by Heurico 1.16 in 0.0142 seconds.