The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  4  8  4  1  1  2  2  2  2  0  1  2  1
 0  2  0  2  0  0  6 14  4  4 10  6 12  6 10 12 14  2  4  2  2  4 14  2  6  4 10  8 12 14 14
 0  0  2  2 12  6  6  4  4  2  6  0  8 10  4 10  4  2  2  4 12 12  2 10 14  2  8  2 14  2  6
 0  0  0  8  0  0  8  0  0  0  8  8  8  0  8  0  8  0  8  0  0  8  0  0  8  0  0  8  8  8  8
 0  0  0  0  8  0  8  0  8  8  0  0  0  8  0  8  0  8  8  0  8  8  0  0  0  0  0  8  0  8  8
 0  0  0  0  0  8  0  8  8  0  8  8  8  0  0  8  8  8  8  0  0  0  0  8  0  0  8  0  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+174x^26+232x^27+771x^28+820x^29+1410x^30+1508x^31+1352x^32+808x^33+680x^34+176x^35+173x^36+36x^37+34x^38+4x^39+7x^40+6x^42

The gray image is a code over GF(2) with n=248, k=13 and d=104.
This code was found by Heurico 1.16 in 0.537 seconds.