The generator matrix

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

generates a code of length 69 over GR(16,4) who´s minimum homogenous weight is 190.

Homogenous weight enumerator: w(x)=1x^0+264x^190+360x^191+582x^192+192x^193+1404x^194+1332x^195+1512x^196+624x^197+2904x^198+2292x^199+2139x^200+816x^201+3696x^202+3120x^203+3006x^204+1356x^205+4968x^206+3756x^207+3279x^208+1392x^209+4908x^210+3456x^211+2949x^212+1080x^213+3912x^214+2844x^215+2082x^216+576x^217+1944x^218+1104x^219+630x^220+108x^221+528x^222+156x^223+105x^224+48x^226+12x^227+36x^228+18x^232+18x^236+6x^240+3x^244+9x^248+6x^252+3x^256

The gray image is a code over GF(4) with n=276, k=8 and d=190.
This code was found by Heurico 1.16 in 21.8 seconds.