The generator matrix

 1  0  0  1  1  1  1  1  1  1  1  1  1  1  2  1  1  1  1 2a+2 2a  1  1  1  1  1  0  1 2a+2 2a  1  1  1  1 2a+2  0  1  1  1  1  1  1  1  1 2a  1  1  1  1  1 2a+2  1  1  1  1  2  1
 0  1  0 2a+2 2a  2  1 3a+2 3a+3 2a+3 2a+1  3  a a+3  1 3a a+2 3a+1 a+1  1  1  0  1 a+2 3a+2 a+3  1 3a+1  1  1 3a  2 a+2 2a+1 2a+2  1 2a  3  a  2 3a+2 a+2 3a+3 3a+1  1  0 2a+2 a+3 3a 3a  1 3a+3 2a a+1 3a+3  1 3a+2
 0  0  1  1  a 3a+3 3a+1 a+1 a+3 a+2 2a+1  2 2a+2 2a a+1  3 3a+2 3a 2a+3 2a+1 3a  2 3a+3  0 3a+2 a+1 a+3 2a+3 3a 2a+2 a+3 3a+1 2a+3  1  1 2a+2 2a+2  0 a+3  3 3a+1  a a+2  1  a  a a+2  1 2a+1 3a  1  2 3a+1 3a 2a+2 2a+1 2a+3

generates a code of length 57 over GR(16,4) who´s minimum homogenous weight is 164.

Homogenous weight enumerator: w(x)=1x^0+291x^164+648x^165+240x^166+120x^167+369x^168+648x^169+144x^170+177x^172+288x^173+96x^174+48x^175+108x^176+300x^177+36x^178+240x^180+96x^181+24x^182+24x^183+24x^184+132x^185+36x^186+6x^192

The gray image is a code over GF(4) with n=228, k=6 and d=164.
This code was found by Heurico 1.16 in 133 seconds.