The generator matrix 1 0 0 1 1 1 1 1 1 1 1 1 2a+2 1 1 1 1 1 2 2 1 0 1 1 1 1 1 1 1 2 2a 2a 1 1 1 2a 2 1 2 1 1 1 2a 1 1 0 1 0 0 2 2a+2 1 3a+2 a+1 2a+3 a a+3 1 2a+3 1 a+2 a+3 3a+3 1 1 a 1 a+1 2a+1 2a+2 3 3 3a+3 3a 1 2a+2 2a+2 2a+2 3a+3 3a 0 1 0 2a+2 a 0 3a 1 1 2a+2 0 0 1 1 3a+2 3a+3 3a+1 3 2a 0 2a 3a 3a+3 a 2a+1 3a+3 a+1 1 1 3a 3a 3a+3 3a 0 a+2 a+3 2a+1 3 3a+3 2 1 1 a+3 3a+3 3a+1 1 3 2a+3 1 a 3a+3 a+3 3a+3 3a 2a+1 0 0 0 2a+2 0 2a 2a 2a+2 0 2a 2a+2 0 0 0 2 2a+2 2 2a 2a+2 0 2 2 2a 2 2a+2 2 2a+2 2 2a 2 2 2a+2 0 0 2 2a 0 0 2a+2 2a 2 0 2 2a+2 2 generates a code of length 45 over GR(16,4) who´s minimum homogenous weight is 124. Homogenous weight enumerator: w(x)=1x^0+354x^124+276x^125+168x^126+540x^127+1527x^128+600x^129+252x^130+696x^131+2112x^132+624x^133+456x^134+660x^135+2034x^136+792x^137+384x^138+684x^139+1461x^140+492x^141+240x^142+384x^143+1047x^144+240x^145+36x^146+108x^147+150x^148+48x^149+12x^152+3x^156+3x^160 The gray image is a code over GF(4) with n=180, k=7 and d=124. This code was found by Heurico 1.16 in 0.756 seconds.