The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+21x^26+76x^27+77x^28+220x^29+479x^30+304x^31+488x^32+224x^33+65x^34+68x^35+7x^36+4x^37+8x^38+3x^40+1x^42+1x^46+1x^50

The gray image is a code over GF(2) with n=248, k=11 and d=104.
This code was found by Heurico 1.16 in 0.0505 seconds.