The generator matrix

 1  1  1  1  1  1  1  2  2  1  1
 0 12  0  0  0  4 12  8  8 12  0
 0  0 12  0  4  4  4 12  0  4  0
 0  0  0 12  4  0  4  4  4  4  0
 0  0  0  0  8  0  0  8  8  8  8
 0  0  0  0  0  8  0  0  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+28x^6+40x^7+78x^8+192x^9+400x^10+2608x^11+416x^12+192x^13+76x^14+40x^15+17x^16+8x^18

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 0.0108 seconds.