The generator matrix

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

generates a code of length 35 over Z16 who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+91x^26+4x^27+220x^28+32x^29+486x^30+400x^31+1182x^32+1408x^33+3179x^34+2392x^35+3133x^36+1568x^37+1132x^38+272x^39+506x^40+64x^41+201x^42+4x^43+70x^44+30x^46+7x^48+1x^50+1x^52

The gray image is a code over GF(2) with n=280, k=14 and d=104.
This code was found by Heurico 1.16 in 3.05 seconds.