The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+226x^24+444x^25+1402x^26+2284x^27+4501x^28+7644x^29+9640x^30+12940x^31+9930x^32+7892x^33+4532x^34+2148x^35+1232x^36+404x^37+232x^38+36x^39+42x^40+2x^42+3x^44+1x^48

The gray image is a code over GF(2) with n=248, k=16 and d=96.
This code was found by Heurico 1.16 in 24.7 seconds.