The generator matrix 1 0 0 0 1 1 1 6 1 1 1 1 1 1 3 1 3 1 3 1 3 1 1 1 1 6 1 1 1 6 3 1 1 3 1 6 6 1 1 1 1 1 1 6 3 1 1 1 1 6 0 1 1 1 1 1 0 1 1 1 1 1 1 1 1 3 6 1 1 1 0 1 0 0 0 1 7 1 0 3 2 5 2 5 1 1 1 2 3 3 1 1 7 4 2 1 0 1 1 1 1 2 6 1 7 1 0 6 7 6 2 2 3 1 1 5 3 4 4 1 6 5 7 7 0 0 1 1 7 0 4 8 0 1 3 6 3 3 0 0 0 0 1 0 1 1 5 7 7 8 0 7 1 2 8 3 3 0 1 5 1 3 4 0 8 5 0 2 4 0 5 6 1 6 3 1 1 4 5 3 3 7 2 5 1 1 5 6 5 0 1 4 1 7 4 8 2 6 5 7 3 8 0 3 3 3 1 1 5 0 0 0 0 1 8 0 5 5 1 6 7 3 5 7 8 2 1 6 1 1 0 7 1 6 8 4 8 3 5 5 0 8 0 7 5 4 5 0 4 3 4 6 6 3 0 1 8 3 2 1 4 1 1 3 7 2 0 7 0 0 6 1 4 4 4 1 2 2 7 3 0 0 0 0 6 0 6 6 3 0 3 0 6 3 6 6 3 0 3 6 3 0 6 6 3 0 3 3 3 3 6 6 6 6 3 0 0 6 0 3 6 3 3 3 3 0 3 0 0 3 3 6 6 0 6 3 6 3 3 0 0 0 6 0 0 6 3 6 3 6 0 0 0 0 0 3 3 0 6 6 6 6 6 3 6 0 6 3 0 0 3 0 6 6 0 0 3 6 3 6 3 3 3 0 0 6 0 6 3 6 6 3 0 6 0 3 6 6 0 3 3 0 3 0 3 0 6 3 0 3 0 6 0 6 0 0 6 6 0 3 generates a code of length 70 over Z9 who´s minimum homogenous weight is 123. Homogenous weight enumerator: w(x)=1x^0+108x^123+168x^124+270x^125+706x^126+612x^127+870x^128+1562x^129+1248x^130+1356x^131+2404x^132+1716x^133+2142x^134+2674x^135+2412x^136+2478x^137+3604x^138+2898x^139+3000x^140+4004x^141+2880x^142+2880x^143+3602x^144+2514x^145+2106x^146+2710x^147+1812x^148+1398x^149+1642x^150+906x^151+702x^152+706x^153+240x^154+210x^155+238x^156+90x^157+78x^158+62x^159+18x^162+6x^164+2x^165+4x^168+6x^171+2x^174+2x^177 The gray image is a code over GF(3) with n=210, k=10 and d=123. This code was found by Heurico 1.16 in 54.1 seconds.