The generator matrix

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

generates a code of length 31 over Z16 who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+137x^24+28x^25+364x^26+428x^27+989x^28+2268x^29+2068x^30+3756x^31+2193x^32+2292x^33+924x^34+420x^35+350x^36+20x^37+92x^38+4x^39+37x^40+8x^42+5x^44

The gray image is a code over GF(2) with n=248, k=14 and d=96.
This code was found by Heurico 1.16 in 2.13 seconds.