The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+48x^25+43x^26+166x^27+158x^28+456x^29+831x^30+702x^31+836x^32+480x^33+136x^34+146x^35+24x^36+40x^37+8x^38+10x^39+2x^40+5x^42+2x^44+1x^46+1x^48

The gray image is a code over GF(2) with n=248, k=12 and d=100.
This code was found by Heurico 1.16 in 94.7 seconds.