The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  1  1  1  2  4  1  1  0  1  1  2  2  2  1
 0 12  0  0  0  4 12 12  8  8  0  0  4  4  4  4  4  4  0  4  8 12  8  0  8  8  8  0 12 12  0
 0  0 12  0  4  4  4  0  8  0  4 12  4  4 12  0 12  8  0  8 12 12  4 12  4  4 12  4 12  0 12
 0  0  0 12  4  8  4  4  0  4  4  0  0 12  0  4  8  8  4  4 12  4 12  4  8  0  0 12 12 12 12
 0  0  0  0  8  8  0  8  8  8  0  8  0  8  8  0  8  8  8  8  8  0  0  8  0  8  0  0  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+52x^26+12x^27+181x^28+128x^29+426x^30+488x^31+445x^32+128x^33+82x^34+12x^35+63x^36+14x^38+13x^40+2x^42+1x^48

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 0.0581 seconds.