The generator matrix

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

generates a code of length 31 over Z16 who´s minimum homogenous weight is 25.

Homogenous weight enumerator: w(x)=1x^0+128x^25+316x^26+640x^27+1040x^28+1632x^29+2971x^30+2836x^31+3085x^32+1784x^33+1008x^34+504x^35+212x^36+128x^37+56x^38+20x^39+14x^40+8x^41+1x^46

The gray image is a code over GF(2) with n=248, k=14 and d=100.
This code was found by Heurico 1.16 in 4.52 seconds.