The generator matrix

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

generates a code of length 26 over Z16 who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+28x^18+34x^19+76x^20+116x^21+215x^22+592x^23+700x^24+1324x^25+2088x^26+1276x^27+680x^28+588x^29+190x^30+144x^31+67x^32+20x^33+36x^34+2x^35+12x^36+3x^38

The gray image is a code over GF(2) with n=208, k=13 and d=72.
This code was found by Heurico 1.16 in 0.412 seconds.