The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  8  2  8  1  1  2  1  2  1  1  2 12  1  1  1  8  8  2  2  1
 0  2  0  2  0  0  6  6  4  4 10  6 14  4  8  2  4  4  6  2 12  2 14  8 14 10 12  6  2 12 12 10  2 12  6 10  0
 0  0  2  2 12  6  6  0 12  2 14 12  2 12 10  4  2  2  0  4  6  2  4  4  2 10 12  6 14  8  0 10 10  2  0 14  0
 0  0  0  8  0  0  0  0  8  0  0  8  8  8  0  8  0  0  8  8  8  0  0  8  0  0  0  8  8  8  8  8  8  8  8  0  0
 0  0  0  0  8  0  0  8  0  8  8  0  0  8  8  8  0  8  8  8  0  0  8  8  0  8  0  0  8  0  0  0  8  0  0  8  8
 0  0  0  0  0  8  0  0  0  8  8  8  8  0  0  8  0  8  0  8  0  8  8  0  0  0  0  8  0  8  8  0  8  8  0  8  0
 0  0  0  0  0  0  8  0  8  0  8  8  0  8  0  8  0  8  8  0  0  0  8  0  8  0  8  0  0  0  8  8  8  0  8  0  8

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

Homogenous weight enumerator: w(x)=1x^0+32x^30+202x^31+362x^32+696x^33+893x^34+2132x^35+2326x^36+3200x^37+2306x^38+2080x^39+848x^40+696x^41+332x^42+188x^43+42x^44+16x^45+14x^46+6x^47+5x^48+7x^50

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 2.37 seconds.