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

generates a code of length 40 over Z16 who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+32x^38+54x^39+97x^40+32x^41+24x^42+8x^43+6x^44+2x^55

The gray image is a code over GF(2) with n=320, k=8 and d=152.
This code was found by Heurico 1.16 in 0.0248 seconds.