The generator matrix

 1  0  0  1  1  1 10  4  2  0  1  1  1  1  1  2  4  1  1 14  1  0  6  1  1  1  1 10  1  1  1  1  1  0  1  1
 0  1  0  4  5  1  1  1  1  6 10  0 15 11  2  1  1  3 15  2  5  1  1  1  0  8  5  8  2  2  9 11  1  1 13  0
 0  0  1  7  3  4  3  2  1  1  5  6  3  2  2  4  7  5  0  1  6  5  3  1  5  4 13  1  4 12  0 15 14  3  1  0
 0  0  0  8  0  0  0  0  0  0  8  0  8  8  8  8  0  0  8  8  0  8  8  8  8  0  0  0  0  8  0  8  8  8  8  0
 0  0  0  0  8  0  0  0  0  0  8  8  8  8  0  8  8  0  0  8  8  0  0  8  0  8  0  8  0  8  8  0  8  8  8  8
 0  0  0  0  0  8  0  8  8  8  0  0  0  8  0  0  8  8  0  8  8  8  0  8  8  8  0  0  0  8  0  8  0  0  8  8

generates a code of length 36 over Z16 who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+49x^30+454x^31+866x^32+2750x^33+3193x^34+6654x^35+4917x^36+6770x^37+3099x^38+2592x^39+847x^40+428x^41+51x^42+54x^43+23x^44+2x^45+8x^46+6x^47+2x^48+2x^49

The gray image is a code over GF(2) with n=288, k=15 and d=120.
This code was found by Heurico 1.16 in 4.65 seconds.