The generator matrix

 1  1  1  1  2  1  1  1  2  8  1
 0  2  0  6  2  8  6  0 12  2  0
 0  0 12  0  0  4  8  4  4  8  0
 0  0  0 12  0  4 12  8 12  4  0
 0  0  0  0  4  4  4 12  8  8  0

generates a code of length 11 over Z16 who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+44x^6+84x^7+256x^8+408x^9+1738x^10+3096x^11+1764x^12+448x^13+256x^14+52x^15+27x^16+8x^17+10x^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 0.0466 seconds.