The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  4  2  2  4  4  4  4  1  1  1  4  1  2  2
 0 12  0  0  0  4 12  4  0  8  0 12 12  0  4 12  8 12  0  0 12  4  8  4 12  4 12 12  0  8 12
 0  0 12  0  4  4 12  0  0  0 12  8 12 12 12  0  0  0  4 12  4  4  4  8  4  4  8  4  4 12  4
 0  0  0 12  4  0 12  4  0  4 12 12  4  8  8  0  4  8 12  8  4  8  8  4  8  4 12  4  8 12  4
 0  0  0  0  8  0  0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  0  0  8  0  8  0  8  8  8  0
 0  0  0  0  0  8  0  0  0  0  8  8  8  8  0  0  8  0  8  0  8  0  8  8  8  8  0  8  8  0  0
 0  0  0  0  0  0  8  0  0  8  8  8  8  0  8  8  8  8  8  0  0  0  8  0  8  8  8  8  0  0  8
 0  0  0  0  0  0  0  8  0  0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  0  8  0  8
 0  0  0  0  0  0  0  0  8  0  0  0  8  0  0  8  8  8  8  8  0  8  0  0  8  0  0  0  8  0  8

generates a code of length 31 over Z16 who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+93x^22+112x^23+217x^24+344x^25+655x^26+1038x^27+2364x^28+3240x^29+4807x^30+6896x^31+4930x^32+3256x^33+2411x^34+1084x^35+608x^36+312x^37+203x^38+80x^39+67x^40+16x^41+21x^42+6x^43+4x^44+1x^46+1x^48+1x^50

The gray image is a code over GF(2) with n=248, k=15 and d=88.
This code was found by Heurico 1.16 in 14.1 seconds.