The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 14  8  1  1  2  1  1  1  1  0  1  1  1  1 12  2  1  1  1  1  1  1  8  6  0  1
 0  1 11  6 13  1  0  7  1 14  5  1  1  3  2  1  4  9 10 12  1  2  5 11  1  1  1  6 10  7  9  7  2  1  1  1  0
 0  0 12  0  4  0 12 12  8  4  8 12  4  8 12  4 12  0  8  8  0 12  8 12 12  8 12  8  0 12  8  4  4 12  0  0  0
 0  0  0  8  0  0  0  8  8  8  8  0  0  8  0  8  0  8  0  0  0  8  8  8  0  0  8  0  0  8  0  8  0  8  0  0  0
 0  0  0  0  8  0  0  0  0  0  0  8  8  0  0  8  8  8  0  8  8  0  8  0  8  8  0  8  8  0  0  8  8  8  0  8  0
 0  0  0  0  0  8  0  0  0  8  8  0  8  0  8  8  0  8  0  0  8  8  0  8  8  8  8  0  8  0  0  8  8  0  8  0  0
 0  0  0  0  0  0  8  0  0  8  0  0  8  8  8  0  8  0  8  8  8  0  0  8  8  0  0  0  0  8  8  0  8  0  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+37x^30+58x^31+240x^32+366x^33+1425x^34+1474x^35+3429x^36+2378x^37+3430x^38+1466x^39+1410x^40+322x^41+210x^42+62x^43+34x^44+6x^45+13x^46+12x^47+5x^48+5x^50+1x^52

The gray image is a code over GF(2) with n=296, k=14 and d=120.
This code was found by Heurico 1.16 in 1.65 seconds.