The generator matrix

 1  0  1  1  1 12  2  1  1  1  1
 0  1  1 12 11  1  2 10  4  2  4
 0  0  2  6  4  6  2  6  2  2  2
 0  0  0  8  0  0  0  0  8  8  0
 0  0  0  0  8  0  0  8  0  8  0
 0  0  0  0  0  8  0  8  0  8  8
 0  0  0  0  0  0  8  8  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+59x^6+80x^7+613x^8+2688x^9+5459x^10+14944x^11+5491x^12+2688x^13+617x^14+80x^15+38x^16+9x^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 0.326 seconds.