The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+20x^23+230x^24+522x^25+1130x^26+1636x^27+3871x^28+6724x^29+11208x^30+14716x^31+11184x^32+7168x^33+3707x^34+1548x^35+1187x^36+364x^37+203x^38+64x^39+37x^40+6x^41+7x^42+2x^44+1x^46

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 24.2 seconds.