The generator matrix

 1  0  1  1  1  1  1  1  1  0  1  1  1  0  1  1  1  1  1  2  1  1 2a  1  1  0  1  1  1  1  1  1  1  1 2a+2  1  1  1  0  1  1  1  1  1  1  1  1  1  1  1  1  1 2a+2  1  1  1  2  1  2
 0  1  1  a 3a+3  0 2a+3 a+1  a  1  0 2a+3  a  1 a+1  2 a+1 a+2 2a+3  1 a+1  a  1  0 3a  1 2a+3 2a+1  a  2 a+1 3a+1 3a+2 2a+1  1 2a+1 2a+3 3a+2  1 3a+1 2a+2  3 2a+2  1 a+2  0  a 3a+3 3a+1 3a+1  0  2  1  2 a+2 a+1  2 3a  1
 0  0 2a+2  0  0  0  2  2  2  2  2  2 2a+2 2a+2 2a  2 2a 2a+2 2a+2  0 2a+2 2a+2 2a 2a+2 2a 2a 2a  2 2a+2  2  2 2a+2  0 2a  0  0 2a  0  2  2  2 2a+2 2a  0  0 2a+2 2a  2 2a+2  0  0 2a+2  2  0  0 2a  0 2a  2
 0  0  0  2  0  2 2a+2  0  2 2a+2  2  0 2a 2a+2  0 2a+2  0  0 2a 2a  2  2 2a+2 2a+2  0 2a 2a  0 2a+2  0 2a 2a 2a+2  2 2a+2 2a 2a+2  2  0  2 2a  0 2a 2a 2a+2  0  2  2 2a+2 2a 2a+2  2 2a 2a  0 2a+2  0 2a  0
 0  0  0  0 2a+2 2a+2  2 2a+2 2a  0 2a+2  2  2 2a  2 2a 2a  2 2a+2 2a+2  0 2a+2 2a+2  2  0 2a+2  0 2a+2 2a+2 2a  2  0  0  0 2a  0  2 2a 2a 2a+2 2a+2  2 2a 2a+2 2a+2 2a+2  2  0 2a+2  0  2  2  2  2 2a 2a 2a+2  0 2a+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+96x^162+108x^163+300x^164+192x^165+468x^166+312x^167+420x^168+360x^169+876x^170+396x^171+669x^172+516x^173+1008x^174+648x^175+909x^176+816x^177+1560x^178+708x^179+927x^180+648x^181+1428x^182+552x^183+525x^184+456x^185+540x^186+324x^187+204x^188+84x^189+168x^190+24x^191+27x^192+30x^196+27x^200+18x^204+21x^208+9x^212+6x^216+3x^220

The gray image is a code over GF(4) with n=236, k=7 and d=162.
This code was found by Heurico 1.16 in 75.5 seconds.