The generator matrix

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

generates a code of length 61 over GR(16,4) who´s minimum homogenous weight is 164.

Homogenous weight enumerator: w(x)=1x^0+507x^164+468x^165+876x^166+1320x^167+2775x^168+2592x^169+2484x^170+3204x^171+5904x^172+5568x^173+4428x^174+6036x^175+11637x^176+8928x^177+7416x^178+9804x^179+17049x^180+14508x^181+11208x^182+12408x^183+20880x^184+15888x^185+10764x^186+11628x^187+17715x^188+12696x^189+7980x^190+7956x^191+10182x^192+5616x^193+3264x^194+2532x^195+2943x^196+1224x^197+660x^198+408x^199+423x^200+96x^201+72x^202+30x^204+45x^208+9x^212+6x^216+3x^220+3x^224

The gray image is a code over GF(4) with n=244, k=9 and d=164.
This code was found by Heurico 1.16 in 216 seconds.