The generator matrix

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

generates a code of length 31 over Z16 who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+85x^26+108x^27+291x^28+452x^29+678x^30+936x^31+643x^32+440x^33+240x^34+108x^35+81x^36+4x^37+18x^38+7x^40+3x^42+1x^48

The gray image is a code over GF(2) with n=248, k=12 and d=104.
This code was found by Heurico 1.16 in 0.184 seconds.