The generator matrix

 1  1  1  1  2  2  2  1  1  1  1
 0  2  0  2  4  2 14  6  6  6  0
 0  0  2  2  2  6  0  4  0  0  8
 0  0  0  4  0  4  4 12  0  8  8
 0  0  0  0  8  0  0  8  0  8  8
 0  0  0  0  0  8  8  0  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+25x^6+138x^7+370x^8+1362x^9+2653x^10+7236x^11+2720x^12+1380x^13+355x^14+114x^15+13x^16+10x^17+7x^18

The gray image is a code over GF(2) with n=88, k=14 and d=24.
This code was found by Heurico 1.16 in 0.134 seconds.