The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+109x^6+160x^7+1201x^8+2560x^9+6353x^10+11968x^11+6395x^12+2560x^13+1207x^14+160x^15+82x^16+11x^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 18.3 seconds.