The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+69x^164+24x^166+228x^167+417x^168+300x^170+804x^171+1080x^172+408x^174+876x^175+1287x^176+648x^178+1344x^179+1410x^180+888x^182+1500x^183+1581x^184+684x^186+996x^187+951x^188+120x^190+372x^191+228x^192+24x^195+36x^196+27x^200+36x^204+18x^208+15x^212+9x^216+3x^220

The gray image is a code over GF(4) with n=240, k=7 and d=164.
This code was found by Heurico 1.16 in 1.37 seconds.