The generator matrix

 1  1  1  1  1  1  1  1  1  1  2  1  1  1  2  1  1  4  1  1  4  1
 0 12  0  4  0  0  4  4  8  8  8  4 12  0  4 12  0  8  0 12  4  0
 0  0 12  4  0 12 12  0  8  4  4  4  4  8 12  0 12  4  4  0 12  0
 0  0  0  8  0  0  8  0  0  0  8  0  0  8  8  8  8  0  8  0  0  8
 0  0  0  0  8  0  0  0  0  8  8  8  0  8  8  0  8  8  0  8  0  8
 0  0  0  0  0  8  8  8  8  8  0  8  8  0  0  0  0  0  8  0  0  8

generates a code of length 22 over Z16 who´s minimum homogenous weight is 17.

Homogenous weight enumerator: w(x)=1x^0+34x^17+44x^18+44x^19+247x^20+302x^21+720x^22+312x^23+222x^24+46x^25+28x^26+28x^27+8x^28+2x^29+8x^30+1x^32+1x^36

The gray image is a code over GF(2) with n=176, k=11 and d=68.
This code was found by Heurico 1.16 in 0.0328 seconds.