The generator matrix 1 0 0 0 1 1 1 1 1 X 1 1 1 1 1 1 1 aX aX 1 X 1 1 1 1 (a+1)X 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 (a+1)X 1 1 1 1 0 1 0 0 0 X X (a+1)X+1 aX+1 1 aX+a a+1 X+a (a+1)X+a+1 1 X 0 1 (a+1)X 1 1 a+1 X+1 a+1 (a+1)X+a+1 1 X aX+a+1 X+a a aX+a 0 a X+1 (a+1)X+1 X X+1 X X+a aX+1 (a+1)X+a (a+1)X+a+1 1 aX+a (a+1)X+a a+1 0 0 0 1 0 1 (a+1)X+a (a+1)X+a+1 X aX+a aX+a aX 0 aX+a+1 aX+1 a+1 X+a 0 X+a 1 X+a+1 X+1 (a+1)X aX X+a (a+1)X+1 (a+1)X aX+a+1 (a+1)X+a a X+a+1 (a+1)X+a+1 a+1 a aX+1 aX+1 X X 1 1 aX (a+1)X+a (a+1)X+a (a+1)X+a (a+1)X+a+1 1 X+a+1 X 0 0 0 1 a+1 a 1 (a+1)X+a aX (a+1)X+a (a+1)X+1 X+a+1 a aX+a 0 aX a+1 (a+1)X X+a X+a X+1 aX (a+1)X aX+a+1 a+1 a+1 a+1 X X+a aX+1 X+a+1 X+a (a+1)X+a+1 a a+1 X+1 1 (a+1)X+a+1 0 X+a+1 aX (a+1)X+1 aX (a+1)X+a 0 a X 0 0 0 0 X 0 aX 0 0 0 aX X aX X aX X aX aX aX X (a+1)X 0 X aX (a+1)X X (a+1)X X X 0 X 0 0 (a+1)X aX (a+1)X 0 X aX 0 aX 0 (a+1)X 0 X aX X generates a code of length 47 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 123. Homogenous weight enumerator: w(x)=1x^0+396x^123+534x^124+564x^125+840x^126+2160x^127+3132x^128+2388x^129+2928x^130+4968x^131+7440x^132+4968x^133+6660x^134+10344x^135+13224x^136+9024x^137+11352x^138+16440x^139+21087x^140+12708x^141+16032x^142+19824x^143+21141x^144+11940x^145+12528x^146+14136x^147+13218x^148+6288x^149+4404x^150+4728x^151+3843x^152+1224x^153+552x^154+732x^155+267x^156+48x^157+33x^160+24x^164+15x^168+6x^172+3x^176 The gray image is a linear code over GF(4) with n=188, k=9 and d=123. This code was found by Heurico 1.16 in 167 seconds.