The generator matrix

 1  0  1  1  1 14  1  1  8  2  1
 0  1 11  6  1  1  8 11  1 14 13
 0  0 12  0  0  4  0  4  8  4  0
 0  0  0 12  0  4  0 12  4  0  8
 0  0  0  0  4  4  4 12  8  8 12
 0  0  0  0  0  8  8  0  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+62x^6+132x^7+439x^8+2292x^9+7692x^10+11528x^11+7679x^12+2312x^13+462x^14+116x^15+40x^16+4x^17+8x^18+1x^20

The gray image is a code over GF(2) with n=88, k=15 and d=24.
This code was found by Heurico 1.16 in 0.374 seconds.