The generator matrix

 1  1  1  1  1  1  1  1  1  1  2  2  2  1  2  0  1  1  0  4  1  1  2  1  1  1
 0  2  0  2  0 10 12  6  6 14 10  6  4  4  0  0 12  2  2  4  2  2 10 14  4  0
 0  0  2  2 12 14  6  0  6  4  6  0  2  4  6  2  0  4  0  2  4  2  6  8  2  0
 0  0  0  8  0  0  0  0  0  0  8  0  8  8  0  8  0  8  8  0  8  8  8  8  0  0
 0  0  0  0  8  0  0  0  0  0  8  0  8  0  8  0  8  8  8  8  0  0  0  8  8  0
 0  0  0  0  0  8  0  0  8  0  0  0  8  8  0  8  8  8  0  8  0  0  8  8  8  0
 0  0  0  0  0  0  8  0  8  8  8  8  8  0  8  0  0  8  0  0  8  0  0  8  0  8
 0  0  0  0  0  0  0  8  0  8  0  0  8  8  8  0  0  8  8  8  0  8  8  0  8  8

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

Homogenous weight enumerator: w(x)=1x^0+21x^18+46x^19+235x^20+320x^21+887x^22+1748x^23+3329x^24+6048x^25+7410x^26+6096x^27+3390x^28+1792x^29+870x^30+300x^31+205x^32+32x^33+25x^34+2x^35+7x^36+3x^38+1x^40

The gray image is a code over GF(2) with n=208, k=15 and d=72.
This code was found by Heurico 1.16 in 4.34 seconds.