The generator matrix

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

generates a code of length 67 over GR(16,4) who´s minimum homogenous weight is 190.

Homogenous weight enumerator: w(x)=1x^0+780x^190+744x^191+174x^192+1716x^194+1188x^195+240x^196+2016x^198+1464x^199+210x^200+1716x^202+1020x^203+117x^204+1296x^206+876x^207+135x^208+1056x^210+480x^211+93x^212+468x^214+324x^215+48x^216+168x^218+48x^219+3x^220+3x^228

The gray image is a code over GF(4) with n=268, k=7 and d=190.
This code was found by Heurico 1.16 in 33.2 seconds.