The generator matrix

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

generates a code of length 39 over Z16 who´s minimum homogenous weight is 37.

Homogenous weight enumerator: w(x)=1x^0+20x^37+66x^38+86x^39+55x^40+18x^41+6x^42+2x^43+2x^53

The gray image is a code over GF(2) with n=312, k=8 and d=148.
This code was found by Heurico 1.16 in 0.0307 seconds.