The generator matrix

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

generates a code of length 31 over Z16 who´s minimum homogenous weight is 23.

Homogenous weight enumerator: w(x)=1x^0+68x^23+242x^24+526x^25+1067x^26+1986x^27+3787x^28+7098x^29+11229x^30+13220x^31+11406x^32+7454x^33+3799x^34+1912x^35+977x^36+398x^37+207x^38+88x^39+35x^40+12x^41+18x^42+6x^43

The gray image is a code over GF(2) with n=248, k=16 and d=92.
This code was found by Heurico 1.16 in 26.1 seconds.