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 2 1 1 1 1 1 1 1 2a 1 1 1 2 0 1 0 1 1 1 1 1 2a+2 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 3a+2 0 2a+1 2a a+2 2a+3 3a+3 3a+2 2a+2 1 3a+3 a a+3 2a+2 1 a+2 1 2a+3 3a+1 3a 2 0 1 a 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 3 1 3a+3 a+1 2a a 3a 2a+1 a+3 2a+2 a+1 2a 2a+3 1 a+2 0 3 0 3a+2 a+1 3a 2 3 a 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 3a+3 3a+1 a a a 2a+1 3a 3 0 3a+3 3a 2a+1 2a+3 3 a 2a 3a a+1 3a+1 a+2 2 2 a+3 a 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+2 2a 2 2 2a 2a+2 0 0 2a+2 2 2a+2 2 2 2a+2 2a 2a+2 0 2a+2 2a 2a 2a+2 2 0 generates a code of length 45 over GR(16,4) who´s minimum homogenous weight is 117. Homogenous weight enumerator: w(x)=1x^0+252x^117+348x^118+720x^119+939x^120+2004x^121+1896x^122+2904x^123+3048x^124+5388x^125+5412x^126+6756x^127+5607x^128+11100x^129+10728x^130+13236x^131+9225x^132+19224x^133+18180x^134+17352x^135+12810x^136+21036x^137+18792x^138+16464x^139+10515x^140+15276x^141+10092x^142+8580x^143+4044x^144+5124x^145+1992x^146+1572x^147+795x^148+468x^149+144x^150+57x^152+21x^156+24x^160+12x^164+6x^168 The gray image is a code over GF(4) with n=180, k=9 and d=117. This code was found by Heurico 1.16 in 162 seconds.