The generator matrix

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

generates a code of length 37 over Z16 who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+133x^30+16x^31+312x^32+136x^33+736x^34+616x^35+1412x^36+1520x^37+1386x^38+640x^39+724x^40+136x^41+252x^42+8x^43+98x^44+49x^46+11x^48+4x^50+2x^52

The gray image is a code over GF(2) with n=296, k=13 and d=120.
This code was found by Heurico 1.16 in 1.12 seconds.