The generator matrix 1 0 1 1 1 1 1 1 1 0 1 1 1 0 1 1 1 1 1 2 1 1 2a 1 1 1 1 1 0 1 1 2a 1 1 1 1 1 1 2a+2 2a+2 1 1 1 0 1 1 1 1 1 2 1 1 1 1 0 2a+2 1 2a+2 2 1 1 1 1 1 0 1 1 a 3a+3 0 2a+3 a+1 a 1 0 2a+3 a 1 a+1 2 a+1 a+2 2a+3 1 a+1 a 1 0 3a a+3 2a+3 2a+1 1 2a+2 2a+1 1 a+2 3a+2 a+3 2a+1 a+3 2a+1 1 1 0 a+1 2a+1 1 3a+1 a+3 2 2a+3 2a 1 a+1 3a a+2 2 1 1 2a 1 1 a+2 3a 2a+1 2a+3 0 0 0 2a+2 0 0 0 2 2 2 2 2 2 2a+2 2a+2 2a 2 2a 2a+2 2a+2 0 2a+2 2a+2 2a 2a+2 2a 0 2a 2 2 2a+2 2a 2a+2 0 0 2a 2a 2a+2 2 2a+2 2a 2a+2 2 0 0 0 0 0 2a+2 0 2a+2 2 2a 0 2 2 0 2a 0 2 2a 2 2a 2a+2 0 0 0 0 2 0 2 2a+2 0 2 2a+2 2 0 2a 2a+2 0 2a+2 0 0 2a 2a 2 2 2a+2 2a+2 0 2a 2a 0 2a+2 2 2 2a 2 2a+2 0 2 2a+2 0 2 2a+2 2 2 2 2 2a 0 2 2 0 2a+2 2a 2 0 2a+2 2a 2a 0 2a 0 2a+2 0 2a+2 2 0 0 0 0 0 2a+2 2a+2 2 2a+2 2a 0 2a+2 2 2 2a 2 2a 2a 2 2a+2 2a+2 0 2a+2 2a+2 2 0 2a+2 0 2a+2 2a+2 2a 2 2 2a 2a 2a+2 0 0 2a 2a 0 2 2a+2 2 2a+2 2a 2a 2 0 2 0 0 2a+2 2a+2 0 2a 2 0 2a 0 0 2 2a+2 2 2a generates a code of length 64 over GR(16,4) who´s minimum homogenous weight is 176. Homogenous weight enumerator: w(x)=1x^0+99x^176+36x^177+156x^179+723x^180+252x^181+396x^183+1164x^184+432x^185+492x^187+1845x^188+540x^189+588x^191+2247x^192+708x^193+660x^195+2391x^196+756x^197+516x^199+1356x^200+264x^201+228x^203+276x^204+84x^205+36x^207+42x^208+12x^212+27x^216+24x^220+15x^224+6x^228+9x^232+3x^236 The gray image is a code over GF(4) with n=256, k=7 and d=176. This code was found by Heurico 1.16 in 1.42 seconds.