The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+4x^15+146x^16+124x^17+496x^18+1268x^19+3232x^20+7820x^21+6568x^22+7820x^23+3277x^24+1268x^25+480x^26+124x^27+120x^28+4x^29+8x^30+7x^32+1x^40

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 3.37 seconds.