The generator matrix

 1  0  1  1  1 14  1  1  0  1  1 14  1  1  0  1  6  1  1 14  1  0  1  1  1  8  4  1  8 14  1
 0  1 11  6  1  1  0  3  1  6  5  1 10  5  1 11  1 14  0  1 12  1 11 10  5  1  1 14  4  1  0
 0  0 12  0  0  0  0  4  4 12  0  4  8  4  0  4  4  4  8  0  8  4  8 12  0  8  4  4  4  8  0
 0  0  0 12  0  0  0  0  0  0  8  8  4  4 12  4 12  8  4 12  0  0 12  8  4  4  4  4  4  8  8
 0  0  0  0  4  4 12  4  4  4  8  0 12  8  4 12  0  8  4  0  8  4  0  4 12  0 12 12  4  4  8
 0  0  0  0  0  8  0  0  8  0  0  8  0  0  8  0  8  8  0  8  0  8  8  0  0  0  0  8  0  8  8
 0  0  0  0  0  0  8  8  8  0  8  0  8  0  0  8  8  0  0  0  8  0  0  8  8  8  0  0  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+60x^23+143x^24+284x^25+632x^26+1516x^27+3803x^28+7702x^29+11867x^30+13574x^31+11641x^32+7866x^33+4010x^34+1426x^35+506x^36+266x^37+124x^38+62x^39+31x^40+10x^41+6x^42+2x^43+3x^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 18 seconds.