The generator matrix

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

generates a code of length 32 over Z16 who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+42x^22+18x^23+105x^24+116x^25+201x^26+538x^27+701x^28+1616x^29+5391x^30+2820x^31+9653x^32+2840x^33+5388x^34+1636x^35+706x^36+528x^37+208x^38+106x^39+81x^40+20x^41+25x^42+2x^43+17x^44+7x^46+2x^50

The gray image is a code over GF(2) with n=256, k=15 and d=88.
This code was found by Heurico 1.16 in 7.37 seconds.