The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+50x^23+134x^24+276x^25+541x^26+894x^27+1851x^28+3694x^29+5688x^30+6540x^31+5612x^32+3738x^33+1936x^34+904x^35+469x^36+210x^37+116x^38+58x^39+29x^40+18x^41+7x^42+2x^43

The gray image is a code over GF(2) with n=248, k=15 and d=92.
This code was found by Heurico 1.16 in 7.78 seconds.