The generator matrix

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

generates a code of length 22 over Z16 who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+24x^18+52x^19+32x^20+272x^21+283x^22+280x^23+18x^24+16x^25+12x^26+20x^27+12x^28+1x^32+1x^38

The gray image is a code over GF(2) with n=176, k=10 and d=72.
This code was found by Heurico 1.16 in 0.0118 seconds.