The generator matrix

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

generates a code of length 59 over GR(16,4) who´s minimum homogenous weight is 162.

Homogenous weight enumerator: w(x)=1x^0+468x^162+564x^163+612x^164+780x^165+1716x^166+1896x^167+1680x^168+1428x^169+3168x^170+3288x^171+2316x^172+2052x^173+4092x^174+3744x^175+2505x^176+2100x^177+4440x^178+4620x^179+2865x^180+2184x^181+4056x^182+3780x^183+2145x^184+1632x^185+2748x^186+1740x^187+1038x^188+504x^189+744x^190+324x^191+138x^192+72x^193+72x^194+12x^195+9x^196+3x^200

The gray image is a code over GF(4) with n=236, k=8 and d=162.
This code was found by Heurico 1.16 in 16.1 seconds.