The generator matrix

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

generates a code of length 22 over Z16 who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+138x^16+52x^17+564x^18+524x^19+2545x^20+2024x^21+4742x^22+1912x^23+2607x^24+548x^25+536x^26+60x^27+111x^28+14x^30+6x^32

The gray image is a code over GF(2) with n=176, k=14 and d=64.
This code was found by Heurico 1.16 in 1.3 seconds.