The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  4  1  2  4  1  1  1
 0 12  0  4  0  8 12 12  0  8  4 12  0  0 12 12  0  8 12  4  8  8  0  8  0  4  4  4  4  4  0  8  4 12 12 12  0
 0  0 12  4  0  4  4  8  0  4  4  0  0 12  4  8  8  8  0  0  4 12  4  8  8  8 12  4 12  0 12  0 12  8 12  4  8
 0  0  0  8  0  0  8  0  8  8  0  8  8  8  0  8  8  0  0  8  0  8  0  0  8  0  8  0  0  8  0  8  0  0  8  8  0
 0  0  0  0  8  8  8  8  8  8  0  8  0  0  8  0  0  0  8  8  0  8  8  8  8  0  8  8  0  0  8  8  0  0  0  0  8

generates a code of length 37 over Z16 who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+34x^33+34x^34+108x^35+162x^36+368x^37+160x^38+100x^39+11x^40+14x^41+14x^42+16x^43+1x^44+1x^68

The gray image is a code over GF(2) with n=296, k=10 and d=132.
This code was found by Heurico 1.16 in 0.0507 seconds.