The generator matrix

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

generates a code of length 67 over GR(16,4) who´s minimum homogenous weight is 188.

Homogenous weight enumerator: w(x)=1x^0+144x^188+12x^189+207x^192+144x^193+201x^196+648x^197+135x^200+1296x^201+78x^204+972x^205+54x^208+24x^212+57x^216+36x^220+24x^224+27x^228+12x^232+9x^236+6x^244+6x^248+3x^252

The gray image is a code over GF(4) with n=268, k=6 and d=188.
This code was found by Heurico 1.16 in 48.7 seconds.