The generator matrix

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

generates a code of length 60 over GR(16,4) who´s minimum homogenous weight is 164.

Homogenous weight enumerator: w(x)=1x^0+579x^164+216x^165+180x^166+636x^167+2235x^168+1020x^169+612x^170+1452x^171+4374x^172+1644x^173+948x^174+1932x^175+5676x^176+2376x^177+1176x^178+2328x^179+7776x^180+2640x^181+1452x^182+2964x^183+7287x^184+2604x^185+1092x^186+2172x^187+5010x^188+1452x^189+588x^190+708x^191+1566x^192+336x^193+96x^194+96x^195+216x^196+30x^200+30x^204+12x^208+15x^212+6x^216+3x^224

The gray image is a code over GF(4) with n=240, k=8 and d=164.
This code was found by Heurico 1.16 in 17.3 seconds.