The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  0  1  1  1  1  6  1  1 12  1  1 10  1  1  1  0  2  6  1
 0  1  3  6  5  1 12  7  1 10  9  1  1  0  3  6  5  1 12 15  1  9 10  1  0  6  3  1  0  1  3
 0  0  8  0  0  0  0  0  0  0  0  0  0  0  8  8  8  8  0  8  8  0  0  8  8  0  0  8  0  8  8
 0  0  0  8  0  0  0  0  0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  0  8  8  0  8
 0  0  0  0  8  0  0  0  0  0  0  8  8  8  8  8  0  8  8  0  0  0  0  0  8  8  8  8  0  0  0
 0  0  0  0  0  8  0  0  0  0  8  8  8  0  0  0  8  8  0  8  8  8  0  0  8  8  0  0  0  8  0
 0  0  0  0  0  0  8  0  0  8  8  0  0  0  0  8  8  8  8  8  0  8  0  8  0  8  8  0  0  8  8
 0  0  0  0  0  0  0  8  0  8  0  0  0  8  8  0  8  0  8  8  0  0  8  0  0  8  8  8  8  0  0
 0  0  0  0  0  0  0  0  8  0  8  8  0  8  0  8  0  0  0  8  0  0  0  8  8  0  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+166x^24+48x^25+192x^26+608x^27+1720x^28+5072x^29+4064x^30+9024x^31+4127x^32+5072x^33+1600x^34+608x^35+320x^36+48x^37+32x^38+58x^40+8x^44

The gray image is a code over GF(2) with n=248, k=15 and d=96.
This code was found by Heurico 1.16 in 58.5 seconds.