The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+52x^18+82x^19+121x^20+228x^21+387x^22+674x^23+1601x^24+3080x^25+3865x^26+3176x^27+1623x^28+660x^29+375x^30+212x^31+98x^32+64x^33+55x^34+14x^35+12x^36+2x^38+2x^39

The gray image is a code over GF(2) with n=208, k=14 and d=72.
This code was found by Heurico 1.16 in 1.87 seconds.