The generator matrix

 1  1  1  1  2  0  8  2  4  1  1
 0  2  0  2  2  2  4  2  2  8  0
 0  0  2  2  6 12  2  2  2  4  0
 0  0  0  8  0  0  8  8  0  0  0
 0  0  0  0  8  0  8  8  0  8  0
 0  0  0  0  0  8  8  0  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+32x^6+32x^7+382x^8+672x^9+1636x^10+2688x^11+1632x^12+672x^13+376x^14+32x^15+33x^16+4x^18

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 0.0295 seconds.