The generator matrix

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

generates a code of length 22 over Z16 who´s minimum homogenous weight is 19.

Homogenous weight enumerator: w(x)=1x^0+164x^19+194x^20+418x^21+536x^22+432x^23+135x^24+108x^25+24x^26+28x^27+5x^28+2x^29+1x^36

The gray image is a code over GF(2) with n=176, k=11 and d=76.
This code was found by Heurico 1.16 in 79.5 seconds.