The generator matrix

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

generates a code of length 67 over GR(16,4) who´s minimum homogenous weight is 185.

Homogenous weight enumerator: w(x)=1x^0+204x^185+228x^186+768x^187+939x^188+1548x^189+1284x^190+1872x^191+1794x^192+2724x^193+1992x^194+2376x^195+2352x^196+3432x^197+2664x^198+3216x^199+3246x^200+3828x^201+2868x^202+3564x^203+2610x^204+3852x^205+2352x^206+2712x^207+2283x^208+2892x^209+1740x^210+1704x^211+1230x^212+1248x^213+660x^214+648x^215+324x^216+240x^217+36x^218+36x^219+66x^220+3x^236

The gray image is a code over GF(4) with n=268, k=8 and d=185.
This code was found by Heurico 1.16 in 18.7 seconds.