The generator matrix

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

generates a code of length 31 over Z16 who´s minimum homogenous weight is 27.

Homogenous weight enumerator: w(x)=1x^0+78x^27+138x^28+258x^29+376x^30+372x^31+368x^32+244x^33+136x^34+58x^35+2x^36+6x^37+4x^39+2x^40+4x^41+1x^48

The gray image is a code over GF(2) with n=248, k=11 and d=108.
This code was found by Heurico 1.16 in 0.108 seconds.