The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  2  2  2  4  4  1  4  1  2  2  4  2  4  2
 0 12  0  4  0  0  4 12  0  8  4  4  8 12  4 12  4  0  0  0 12  0  4  4 12  8
 0  0 12  4  0 12  4  0  0  4  0 12  4  8  4  0  4 12 12  8  8 12  4 12  0  4
 0  0  0  8  0  0  0  0  0  8  8  8  0  8  0  8  0  0  8  0  8  8  8  0  0  0
 0  0  0  0  8  0  0  0  0  0  0  0  8  8  8  8  8  0  8  0  0  0  8  8  8  8
 0  0  0  0  0  8  0  0  0  8  0  0  8  0  8  8  0  8  0  8  0  8  0  0  8  0
 0  0  0  0  0  0  8  0  0  8  8  0  0  8  8  0  0  8  0  0  0  8  8  8  0  0
 0  0  0  0  0  0  0  8  0  0  8  0  0  0  8  8  0  8  8  8  8  8  8  8  8  0
 0  0  0  0  0  0  0  0  8  0  0  8  8  0  0  0  8  8  8  0  8  8  0  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+64x^18+86x^19+143x^20+370x^21+366x^22+1464x^23+888x^24+3176x^25+3228x^26+3220x^27+874x^28+1500x^29+389x^30+344x^31+127x^32+72x^33+44x^34+6x^35+15x^36+2x^37+4x^38+1x^46

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 10.5 seconds.