The generator matrix

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

generates a code of length 35 over Z16 who´s minimum homogenous weight is 25.

Homogenous weight enumerator: w(x)=1x^0+12x^25+119x^26+168x^27+279x^28+392x^29+576x^30+902x^31+1955x^32+3106x^33+5222x^34+7176x^35+5275x^36+3232x^37+2037x^38+836x^39+580x^40+384x^41+211x^42+128x^43+93x^44+40x^45+26x^46+6x^47+8x^48+2x^49+1x^52+1x^54

The gray image is a code over GF(2) with n=280, k=15 and d=100.
This code was found by Heurico 1.16 in 10.5 seconds.