The generator matrix

 1  1  1  1  2  2  2  1  1  1  1
 0  2  0  2  4  2 14 12 12  4 10
 0  0  2  2  2  6  4  4  4  6  4
 0  0  0  4  0  4  8  4  4  4 12
 0  0  0  0  8  8  8  0  8  0  0

generates a code of length 11 over Z16 who´s minimum homogenous weight is 7.

Homogenous weight enumerator: w(x)=1x^0+72x^7+191x^8+676x^9+1472x^10+3360x^11+1479x^12+696x^13+176x^14+56x^15+8x^16+4x^17+1x^20

The gray image is a code over GF(2) with n=88, k=13 and d=28.
This code was found by Heurico 1.16 in 0.0873 seconds.