The generator matrix 1 0 0 0 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 2 1 1 2 2 1 1 2a 1 1 1 1 1 1 1 2a 1 2 1 1 1 2 1 1 1 1 1 0 1 0 0 0 2 2 2a+3 2a+1 1 3a 3a+3 a+2 a+3 a+1 2a 3a 2a a+1 a+1 1 a 3 2 1 3 3a+3 1 3a+1 3a+2 2a+2 a+1 3a 3a+2 2a 1 a+1 1 1 2a+3 1 1 a+3 3a+2 0 3a+3 2 0 0 1 0 1 3a+2 a+1 a 2a+2 3a+2 2a+3 3a+1 a 3a+2 3a+3 0 3a a+2 2a+2 0 2 3a+3 a+1 1 a+3 2a+2 1 1 a 2a+3 3a+1 a+2 2a+1 3a+1 2a+1 2a+2 2 a 2a+1 0 2a+3 2a+3 2a 3a 3a+2 2a 2 0 0 0 1 3a+3 a 1 2 a+2 a+2 0 2 3a+1 2a+3 3a+1 a+2 0 3a+3 3a+1 2a+2 3a 2a+1 3a 3a+1 3a+1 3a+3 2a+2 2 3a+2 a+3 a+2 a+3 a+2 1 2 3a+3 3 0 a+2 3a 2a+3 0 3a+3 a+3 a 0 2 0 0 0 0 2 0 2a 0 0 0 2 2a 2 2a 2 2a 2a+2 2a 0 2 2 2a+2 2a 2a+2 0 2 2a+2 2 2a+2 2a 0 2a+2 2a+2 2 0 2a+2 0 2a+2 2 2a 0 0 2a+2 2a+2 2a+2 2a 2 generates a code of length 47 over GR(16,4) who´s minimum homogenous weight is 123. Homogenous weight enumerator: w(x)=1x^0+348x^123+741x^124+204x^125+972x^126+2400x^127+3207x^128+1284x^129+3000x^130+6324x^131+7176x^132+3456x^133+6888x^134+12120x^135+13482x^136+7140x^137+11568x^138+19512x^139+20556x^140+10716x^141+14748x^142+21792x^143+21534x^144+9756x^145+12408x^146+16740x^147+12693x^148+3960x^149+5136x^150+6024x^151+3939x^152+348x^153+576x^154+756x^155+564x^156+33x^160+27x^164+3x^168+3x^172+9x^176 The gray image is a code over GF(4) with n=188, k=9 and d=123. This code was found by Heurico 1.16 in 170 seconds.