The generator matrix

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

generates a code of length 29 over Z16 who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+44x^21+144x^22+238x^23+483x^24+978x^25+1768x^26+3782x^27+5744x^28+6346x^29+5816x^30+3774x^31+1873x^32+902x^33+440x^34+254x^35+88x^36+50x^37+24x^38+12x^39+3x^40+4x^43

The gray image is a code over GF(2) with n=232, k=15 and d=84.
This code was found by Heurico 1.16 in 7.19 seconds.