The generator matrix

 1  1  1  1  2  2  1  1  2  1  1
 0  2 12  6  6  6  0  0  0  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  0  0

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

Homogenous weight enumerator: w(x)=1x^0+36x^4+32x^5+32x^6+96x^7+190x^8+608x^9+744x^10+4672x^11+828x^12+608x^13+112x^14+96x^15+89x^16+32x^17+8x^18+8x^20

The gray image is a code over GF(2) with n=88, k=13 and d=16.
This code was found by Heurico 1.16 in 0.0153 seconds.