The generator matrix

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

generates a code of length 22 over Z16 who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+8x^21+108x^22+8x^23+1x^24+1x^28+1x^36

The gray image is a code over GF(2) with n=176, k=7 and d=84.
This code was found by Heurico 1.16 in 0.00361 seconds.