The generator matrix

 1  0  0  1  1  1 10  1  1  4  1 14 10  1  1  2  1  1 14  1 12  1
 0  1  0  4  5 11  1  2  7  1  9  1  0  0  2  1 10 13  1 13  6  8
 0  0  1  7  3  4  5  2  1  1  6  4  1  5  4  7  5  1 15 15  1  0
 0  0  0  8  0  0  0  0  0  0  8  8  0  8  8  8  0  8  8  0  8  0
 0  0  0  0  8  8  0  8  0  8  8  8  8  8  0  8  0  0  0  0  0  0

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

Homogenous weight enumerator: w(x)=1x^0+290x^18+668x^19+2041x^20+2922x^21+4582x^22+2948x^23+1995x^24+592x^25+292x^26+32x^27+11x^28+6x^29+2x^30+2x^34

The gray image is a code over GF(2) with n=176, k=14 and d=72.
This code was found by Heurico 1.16 in 0.609 seconds.