The generator matrix

 1  0  1  1  1  4  1  1  6  1  1  2  1  8  0  1  1 10  1  1 10  1  1  0  2  1 12  1  1  1  1  0 12  2  1  0  1
 0  1  1  0 11  1 15 10  1 13  6  1 12  1  1 14 15  1  5  9  1  2 12  1  4  8  1  1  8  3  4  2  1  0  8  1  0
 0  0  2  6  4  6 10  6 12  0  4 10  6  8 14  4 14  8 12 10  6 14  4  2  2  8 14  0  2  6  4 10 12  6  4 12  0
 0  0  0 12  0  4  4  0 12 12 12  8  8  4  8  8  8  8  4  4  0 12 12  4  0  8  8  4  8  8  4  0 12  8  8  4  0
 0  0  0  0  8  0  0  0  0  8  0  0  8  8  8  8  8  8  8  0  8  8  0  8  0  8  0  0  0  0  8  0  8  0  0  0  0
 0  0  0  0  0  8  8  8  8  8  8  0  0  0  8  8  8  8  0  0  0  0  0  0  8  0  8  0  0  0  8  0  8  8  0  8  0

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

Homogenous weight enumerator: w(x)=1x^0+46x^30+310x^31+458x^32+1196x^33+2078x^34+3944x^35+5282x^36+6000x^37+5591x^38+3976x^39+1910x^40+1206x^41+385x^42+202x^43+90x^44+44x^45+27x^46+14x^47+3x^48+2x^49+1x^50+2x^51

The gray image is a code over GF(2) with n=296, k=15 and d=120.
This code was found by Heurico 1.16 in 6.17 seconds.