The generator matrix

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

generates a code of length 37 over Z16 who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+28x^26+18x^27+71x^28+66x^29+143x^30+260x^31+400x^32+968x^33+949x^34+6364x^35+1477x^36+11260x^37+1496x^38+6400x^39+963x^40+936x^41+382x^42+258x^43+129x^44+82x^45+55x^46+12x^47+27x^48+17x^50+3x^52+2x^54+1x^56

The gray image is a code over GF(2) with n=296, k=15 and d=104.
This code was found by Heurico 1.16 in 8.54 seconds.