The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  2  1  1  2  1  1  1  2  1
 0  8  0  0  0  0  0  0  0  0  0  0  0  0  0  8  0  8  0  8  8  0  8  8
 0  0  8  0  0  0  0  0  0  0  0  0  0  8  0  0  8  0  8  8  8  8  0  8
 0  0  0  8  0  0  0  0  0  0  0  0  0  8  8  8  8  0  0  0  0  8  8  8
 0  0  0  0  8  0  0  0  0  0  0  0  0  8  8  0  0  8  8  0  8  0  8  8
 0  0  0  0  0  8  0  0  0  0  0  0  8  0  0  0  0  8  8  8  0  8  8  0
 0  0  0  0  0  0  8  0  0  0  0  0  8  0  8  8  8  8  0  0  0  0  8  0
 0  0  0  0  0  0  0  8  0  0  0  8  0  0  8  8  8  0  8  0  8  0  0  0
 0  0  0  0  0  0  0  0  8  0  0  8  0  0  0  0  8  8  0  0  8  8  8  0
 0  0  0  0  0  0  0  0  0  8  0  8  8  8  0  8  8  8  8  8  8  0  8  8
 0  0  0  0  0  0  0  0  0  0  8  8  8  8  0  8  0  0  0  8  8  0  0  0

generates a code of length 24 over Z16 who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+66x^14+152x^16+136x^18+272x^20+802x^22+13454x^24+848x^26+352x^28+150x^30+87x^32+40x^34+16x^36+6x^38+2x^40

The gray image is a code over GF(2) with n=192, k=14 and d=56.
This code was found by Heurico 1.16 in 1.1 seconds.