The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  2  0  2  1  1  1  1  1 12  2  0  1  1  1  1  1  1  2  0  2  1  2  2  2  1
 0  2 12  6  0  6 12 10  0  6 12 10  6  2 10  6 10  0 12 12  2  6  2  0  8 12  6 10  0 10  2  6  0  6  0  0  0
 0  0  8  0  0  0  0  0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  0  8  0  8  8  0  8  8  0  0  8  8  0
 0  0  0  8  0  0  0  0  0  8  0  0  0  0  8  8  8  8  8  0  8  0  8  8  0  0  0  0  8  8  0  8  0  8  0  8  0
 0  0  0  0  8  0  0  0  0  0  8  0  0  8  0  8  8  0  8  8  0  0  8  0  8  8  0  8  0  8  0  8  0  8  0  8  0
 0  0  0  0  0  8  0  0  0  8  0  8  0  8  8  8  0  0  8  8  0  8  8  8  8  8  8  0  8  0  0  8  8  0  8  0  0
 0  0  0  0  0  0  8  0  0  0  0  0  8  8  8  0  0  0  0  0  8  8  8  8  8  8  8  8  0  8  8  8  0  0  8  0  8
 0  0  0  0  0  0  0  8  0  0  0  8  8  8  8  8  8  0  0  0  0  0  0  8  8  0  0  8  8  8  0  8  0  0  8  8  0
 0  0  0  0  0  0  0  0  8  0  8  8  8  0  0  0  8  8  8  0  8  0  0  8  8  8  8  0  8  0  0  8  0  8  8  8  8

generates a code of length 37 over Z16 who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+53x^28+28x^29+122x^30+88x^31+241x^32+544x^33+862x^34+1960x^35+2820x^36+2952x^37+2836x^38+1960x^39+869x^40+544x^41+220x^42+88x^43+85x^44+28x^45+50x^46+24x^48+6x^50+2x^52+1x^56

The gray image is a code over GF(2) with n=296, k=14 and d=112.
This code was found by Heurico 1.16 in 2.52 seconds.