The generator matrix

 1  1  1  1  1  1  1  1  2  0  1  1  2  1  1 12  1  2  1  0  1  2  1  1  1  1  2  1  2
 0  2 12  6  0  6 12 10  6  2  0  6 10 12 10  2  0  6 10  2 12 10  6  6 10  0  6  6  6
 0  0  8  0  0  0  0  0  0  0  0  0  0  8  0  0  8  8  0  8  8  8  0  8  0  0  8  8  0
 0  0  0  8  0  0  0  0  0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  0  8  0
 0  0  0  0  8  0  0  0  0  0  8  0  8  8  8  0  8  8  8  0  0  0  8  8  0  8  0  8  0
 0  0  0  0  0  8  0  0  0  0  0  0  8  0  0  8  8  0  8  0  0  8  0  8  0  8  8  0  8
 0  0  0  0  0  0  8  0  0  0  8  8  0  0  8  8  8  0  0  8  0  8  0  0  8  0  0  0  8
 0  0  0  0  0  0  0  8  0  0  0  8  8  0  0  0  8  8  0  0  8  0  8  8  8  0  0  8  0
 0  0  0  0  0  0  0  0  8  0  0  8  8  8  8  8  8  8  0  0  8  8  8  0  0  8  0  8  8
 0  0  0  0  0  0  0  0  0  8  0  8  0  8  8  0  8  0  0  8  8  0  8  0  0  8  8  0  0

generates a code of length 29 over Z16 who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+113x^20+42x^22+64x^23+628x^24+768x^25+1344x^26+4544x^27+5098x^28+7680x^29+4868x^30+4544x^31+1577x^32+768x^33+400x^34+64x^35+229x^36+2x^38+33x^40+1x^56

The gray image is a code over GF(2) with n=232, k=15 and d=80.
This code was found by Heurico 1.16 in 9.99 seconds.