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  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  1  1  1  2  1  1  1  1
 0  2  0  0  0  0  2  2  2 2a  0  2 2a+2 2a 2a+2 2a  2  2 2a  0 2a+2 2a  2 2a  0  2  0 2a+2 2a  2 2a+2 2a  0 2a 2a  0  2  0 2a  2 2a 2a 2a  0  0  2  2  2 2a  2 2a+2  0  2 2a+2 2a 2a  0
 0  0  2  0  0  2 2a+2 2a 2a 2a  0  0 2a 2a  0 2a 2a+2 2a 2a+2 2a+2  0  2 2a+2  0 2a+2  0 2a 2a 2a 2a 2a+2  0 2a+2  2  0 2a 2a+2 2a+2  2  0 2a  0 2a 2a+2 2a  0 2a  2  2  2 2a  0 2a  2 2a+2  2  0
 0  0  0  2  0 2a+2  0  2 2a 2a+2  2  2  2  0  2 2a+2  2  2 2a+2 2a+2 2a+2 2a  0 2a+2 2a+2  0  2 2a  0 2a+2  0 2a  2  0 2a  2 2a  0 2a 2a 2a  2  2 2a 2a 2a  2 2a  2 2a+2 2a 2a+2  2  2 2a+2  2 2a
 0  0  0  0  2  2  2 2a+2  2  2  2 2a  0  0  0 2a  2 2a 2a+2 2a+2 2a  0 2a  2 2a 2a  0  0 2a+2 2a+2 2a+2 2a  2 2a  0 2a 2a 2a 2a+2 2a+2 2a+2  0  2  0  0  2 2a+2 2a+2  0 2a+2 2a  2 2a  2  0 2a+2 2a+2

generates a code of length 57 over GR(16,4) who´s minimum homogenous weight is 156.

Homogenous weight enumerator: w(x)=1x^0+81x^156+150x^160+210x^164+192x^165+150x^168+1152x^169+108x^172+1728x^173+69x^176+78x^180+33x^184+42x^188+24x^192+48x^196+21x^200+6x^204+3x^220

The gray image is a code over GF(4) with n=228, k=6 and d=156.
This code was found by Heurico 1.16 in 0.182 seconds.