The generator matrix

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

generates a code of length 22 over Z16 who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+54x^14+237x^16+128x^17+1020x^18+896x^19+3829x^20+6144x^21+8100x^22+6144x^23+3926x^24+896x^25+1008x^26+128x^27+186x^28+54x^30+12x^32+4x^34+1x^36

The gray image is a code over GF(2) with n=176, k=15 and d=56.
This code was found by Heurico 1.16 in 3.02 seconds.