The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+52x^30+226x^31+698x^32+1010x^33+2189x^34+2422x^35+3147x^36+2656x^37+2115x^38+888x^39+665x^40+162x^41+67x^42+46x^43+17x^44+12x^45+9x^46+2x^47

The gray image is a code over GF(2) with n=288, k=14 and d=120.
This code was found by Heurico 1.16 in 1.57 seconds.