The generator matrix 1 0 1 1 1 1 1 1 1 0 1 1 1 0 1 1 2 1 1 1 1 1 1 0 1 1 1 2a 2 1 1 1 1 1 1 1 1 1 1 2a 1 1 1 1 0 1 1 a 3a+3 0 2a+3 a+1 a 1 0 2a+3 a 1 a+1 a+2 1 2a+3 0 a+1 a+1 a 2 1 2a+3 2 3a 1 1 2a+1 a+3 3a a 2a+1 2a+1 3 3a+2 0 2a 1 3a 3a 2a 0 0 0 2a+2 0 0 0 2 2 2 2 2 2 2a+2 2a+2 2a 2a+2 2a+2 0 2a+2 2a 2a+2 0 2 2a+2 0 2a 2 2 2a 2a 0 0 2a 0 2 0 2 2a+2 2 2a+2 0 2a+2 2a 0 0 0 0 2 0 2 2a+2 0 2 2a+2 2 0 2a 2a+2 0 0 2 2a 2 0 2a+2 2 2a 2a+2 0 2 2a 2 2a+2 2 2a 2 2 0 0 2 2a 2 2a+2 2a+2 0 2 2a 0 0 0 0 0 2a+2 2a+2 2 2a+2 2a 0 2a+2 2 2 2a 2 2 2 0 0 2a 0 2a 2a+2 2a+2 2a 2a+2 2 2a 2a 2a 2a+2 2a+2 0 0 2a 2 0 2a 0 0 2a 2a 2a+2 0 generates a code of length 44 over GR(16,4) who´s minimum homogenous weight is 116. Homogenous weight enumerator: w(x)=1x^0+45x^116+108x^118+60x^119+261x^120+168x^121+348x^122+396x^123+450x^124+372x^125+864x^126+492x^127+711x^128+720x^129+1512x^130+600x^131+1137x^132+840x^133+1884x^134+948x^135+861x^136+744x^137+1212x^138+444x^139+405x^140+228x^141+216x^142+132x^143+99x^144+48x^148+42x^152+21x^156+9x^160+6x^164 The gray image is a code over GF(4) with n=176, k=7 and d=116. This code was found by Heurico 1.16 in 0.908 seconds.