The generator matrix

 1  1  1  1  2  0  2  2  2  1  1
 0  2  0 14  6  2  4 14 14  0  0
 0  0 12  4  0 12  4  4 12  0  0
 0  0  0  8  0  0  8  8  0  0  0
 0  0  0  0  8  0  8  0  0  8  0
 0  0  0  0  0  8  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+24x^6+32x^7+166x^8+256x^9+836x^10+1472x^11+832x^12+256x^13+160x^14+32x^15+25x^16+4x^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 0.00971 seconds.