The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  2  4  1  4  2  1  4  1  1  4  1  2  1
 0 12  0  4  0  0  4 12  0  8  4  0 12 12  8  4  8  4 12 12  8  0  4  4  4  4  0  4  8 12  4
 0  0 12  4  0 12  4  0  8  4  0  0  8  4  4  4  4  4  0  0  4 12 12  4  4  8 12  4  0  0  4
 0  0  0  8  0  0  0  0  8  8  8  8  8  8  0  8  0  8  0  0  0  8  0  8  8  8  0  0  8  8  8
 0  0  0  0  8  0  0  0  0  0  0  8  0  0  8  8  8  8  0  0  0  8  8  0  8  0  8  8  0  8  0
 0  0  0  0  0  8  0  0  0  8  0  8  8  8  8  8  0  8  0  8  8  0  8  8  0  0  0  8  8  0  0
 0  0  0  0  0  0  8  0  8  8  8  8  8  0  0  0  8  8  8  8  8  8  8  8  8  0  8  8  8  8  8
 0  0  0  0  0  0  0  8  0  0  8  0  0  0  8  8  0  8  8  8  8  8  0  0  0  0  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+136x^24+214x^26+64x^27+763x^28+512x^29+1428x^30+1920x^31+1504x^32+512x^33+728x^34+64x^35+238x^36+60x^38+38x^40+2x^42+7x^44+1x^48

The gray image is a code over GF(2) with n=248, k=13 and d=96.
This code was found by Heurico 1.16 in 0.698 seconds.