The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  1  2  1  1  1  1  1  4  0  1  1  1  2  2  1  2
 0 12  0 12  0 12  0 12  8  4  0 12 12  0 12  8 12 12 12 12  4  4 12  4  0  0  4 12 12 12  8
 0  0  8  0  0  0  0  0  8  0  0  0  0  8  8  8  0  0  0  8  8  8  8  0  0  8  0  8  0  0  8
 0  0  0  8  0  0  0  0  0  8  0  8  0  8  0  8  8  0  8  8  0  0  8  8  8  8  8  0  0  0  8
 0  0  0  0  8  0  0  0  0  0  8  0  8  8  0  8  0  8  8  8  0  8  8  0  8  8  0  0  0  8  8
 0  0  0  0  0  8  0  0  0  0  0  8  8  0  8  0  8  8  8  8  0  0  0  0  8  8  0  0  8  0  8
 0  0  0  0  0  0  8  0  8  0  8  8  0  8  8  0  0  0  8  8  0  8  0  0  8  0  8  0  0  8  0
 0  0  0  0  0  0  0  8  0  8  8  8  8  0  8  8  0  0  0  8  0  8  8  0  8  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+67x^24+76x^26+32x^27+194x^28+256x^29+1188x^30+448x^31+1262x^32+256x^33+116x^34+32x^35+108x^36+28x^38+29x^40+2x^44+1x^48

The gray image is a code over GF(2) with n=248, k=12 and d=96.
This code was found by Heurico 1.16 in 0.185 seconds.