The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  1  0  1  1  2  1  1  1  1
 0  1  3  6  5  1 12  7  1 10  9  1  0  3  1  6  0  6  5  3  0  0
 0  0  8  0  0  0  0  0  0  0  0  8  0  0  8  8  8  8  0  0  8  0
 0  0  0  8  0  0  0  0  0  0  0  8  8  8  8  8  0  0  8  0  0  0
 0  0  0  0  8  0  0  0  0  8  0  0  8  8  8  0  0  8  8  8  8  0
 0  0  0  0  0  8  0  0  0  8  0  0  0  8  8  8  8  0  8  0  0  8
 0  0  0  0  0  0  8  0  0  0  8  0  0  8  0  8  8  8  8  0  0  0
 0  0  0  0  0  0  0  8  0  8  8  8  8  0  0  8  8  8  8  8  8  0
 0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  0  8  0  0  0  8  8

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

Homogenous weight enumerator: w(x)=1x^0+34x^14+125x^16+96x^17+484x^18+736x^19+3772x^20+7872x^21+6581x^22+7872x^23+3666x^24+736x^25+548x^26+96x^27+108x^28+32x^30+8x^32+1x^38

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 1.78 seconds.