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 1 1 1 1 1 2a 1 1 1 1 2a+2 1 1 1 1 1 2a+2 1 1 1 1 1 1 1 1 0 1 1 0 1 1 1 1 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 3a+3 2a+2 a a+2 a+3 1 a+1 3a 3a+2 3 2 3 3 a+2 2a+1 2a 1 a+1 a+2 3 0 3a+1 2a+1 a a+2 1 2a+3 a+3 1 a+2 a+3 2a+1 2a+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 2a 3a 3a 3a+1 3a+2 a+2 1 3a+3 2a+1 a+2 1 3a+2 a+3 2a+2 3a+3 3a+1 2a+1 a+1 a a+3 3a+3 3a+2 0 a+2 2a+1 1 3a+2 1 3a+2 3a+3 2 3a+1 a+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 2a+2 2 2 2 0 2a+2 2 2 2 2a+2 0 0 2a+2 2a+2 2 2a+2 2 2 2a 0 2a 2a 0 0 2a 0 2 2 2a+2 2a+2 2a generates a code of length 75 over GR(16,4) who´s minimum homogenous weight is 213. Homogenous weight enumerator: w(x)=1x^0+408x^213+720x^214+276x^215+51x^216+1284x^217+1200x^218+516x^219+48x^220+1320x^221+1416x^222+420x^223+39x^224+1476x^225+1380x^226+492x^227+42x^228+924x^229+888x^230+216x^231+36x^232+696x^233+756x^234+264x^235+24x^236+492x^237+372x^238+96x^239+3x^240+240x^241+168x^242+24x^243+6x^244+72x^245+12x^246+3x^248+3x^256 The gray image is a code over GF(4) with n=300, k=7 and d=213. This code was found by Heurico 1.16 in 1.4 seconds.