The generator matrix

 1  0  1  1  1 14  4  1  1  1  1
 0  1 11 14  5  1  8 12  0  6  0
 0  0 12  4  0  4  4  0  8  0  0
 0  0  0  8  0  0  8  0  0  8  0
 0  0  0  0  8  0  8  8  8  8  0
 0  0  0  0  0  8  8  8  0  0  0

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

Homogenous weight enumerator: w(x)=1x^0+44x^6+32x^7+238x^8+576x^9+2016x^10+2368x^11+2032x^12+576x^13+236x^14+32x^15+33x^16+8x^18

The gray image is a code over GF(2) with n=88, k=13 and d=24.
This code was found by Heurico 1.16 in 0.022 seconds.