The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+76x^26+8x^27+131x^28+128x^29+455x^30+496x^31+437x^32+128x^33+89x^34+8x^35+61x^36+17x^38+9x^40+3x^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 0.0582 seconds.