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

generates a code of length 71 over GR(16,4) who´s minimum homogenous weight is 188.

Homogenous weight enumerator: w(x)=1x^0+66x^188+243x^192+351x^196+480x^200+561x^204+2136x^208+5529x^212+5547x^216+306x^220+321x^224+234x^228+228x^232+174x^236+108x^240+66x^244+18x^248+9x^252+3x^264+3x^272

The gray image is a code over GF(4) with n=284, k=7 and d=188.
This code was found by Heurico 1.16 in 3.23 seconds.