The generator matrix

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

generates a code of length 11 over Z16 who´s minimum homogenous weight is 4.

Homogenous weight enumerator: w(x)=1x^0+79x^4+168x^6+1346x^8+1536x^9+2376x^10+21504x^11+2838x^12+1536x^13+1016x^14+333x^16+24x^18+11x^20

The gray image is a code over GF(2) with n=88, k=15 and d=16.
This code was found by Heurico 1.16 in 0.324 seconds.