The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+50x^21+158x^22+268x^23+430x^24+834x^25+1789x^26+3644x^27+5804x^28+6692x^29+5833x^30+3820x^31+1827x^32+812x^33+386x^34+196x^35+116x^36+58x^37+24x^38+8x^39+14x^40+2x^41+1x^42+1x^46

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 51.3 seconds.