The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  1  1  1  1  4  1  1  2  4  2
 0 12  0  4  0  8 12 12  0  8  4 12  0  0 12 12  8  4 12  8  0  4  4  4  0  4 12  0  8
 0  0 12  4  0  4  4  8  0  4  4  0  0 12  4  8  8 12 12  4  4  8 12  4  8  8  0 12  4
 0  0  0  8  0  0  8  0  8  8  0  8  8  8  0  8  8  8  0  0  0  0  8  8  0  0  8  0  8
 0  0  0  0  8  8  8  8  8  8  0  8  0  0  8  0  8  0  0  0  8  8  8  8  8  0  0  0  0

generates a code of length 29 over Z16 who´s minimum homogenous weight is 25.

Homogenous weight enumerator: w(x)=1x^0+36x^25+47x^26+84x^27+215x^28+282x^29+206x^30+84x^31+32x^32+12x^33+3x^34+8x^35+7x^36+6x^37+1x^48

The gray image is a code over GF(2) with n=232, k=10 and d=100.
This code was found by Heurico 1.16 in 0.0556 seconds.