The generator matrix

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

generates a code of length 22 over Z16 who´s minimum homogenous weight is 15.

Homogenous weight enumerator: w(x)=1x^0+64x^15+166x^16+324x^17+601x^18+1238x^19+3144x^20+6508x^21+8523x^22+6652x^23+3242x^24+1244x^25+547x^26+296x^27+132x^28+52x^29+21x^30+4x^31+3x^32+4x^34+2x^35

The gray image is a code over GF(2) with n=176, k=15 and d=60.
This code was found by Heurico 1.16 in 5.4 seconds.