The generator matrix 1 0 0 1 1 1 1 1 1 1 1 X 1 1 1 aX 1 1 1 1 (a+1)X 1 1 1 1 1 1 1 1 1 1 1 1 (a+1)X X aX 1 1 1 1 X X 1 1 (a+1)X 1 1 aX 0 1 0 (a+1)X X aX 1 (a+1)X+a a+1 (a+1)X+1 X+1 1 X+a+1 aX+1 a 1 (a+1)X+a X+a (a+1)X+a+1 aX+a+1 1 0 aX+a (a+1)X+1 X+a X+a+1 (a+1)X+a+1 aX+a+1 aX+a aX+a X+a a+1 (a+1)X 1 1 1 1 X+a+1 a+1 (a+1)X+1 1 0 (a+1)X+a X 1 (a+1)X+a X+a+1 1 0 0 1 1 (a+1)X+a (a+1)X+a+1 a+1 aX+a+1 X+a+1 X+a X+1 X+a+1 aX+a (a+1)X a (a+1)X+1 aX aX+1 0 X+1 a X 1 aX+a X (a+1)X+1 X+a+1 (a+1)X X+a aX+1 aX a (a+1)X+1 1 X+a aX aX+a+1 (a+1)X+a+1 (a+1)X+a+1 aX+a+1 0 1 X+a aX+a a+1 (a+1)X+a+1 X+a a generates a code of length 48 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 137. Homogenous weight enumerator: w(x)=1x^0+492x^137+96x^138+384x^139+264x^140+744x^141+120x^142+72x^143+189x^144+396x^145+96x^146+120x^147+108x^148+276x^149+24x^150+120x^151+42x^152+312x^153+48x^154+72x^155+36x^156+84x^157 The gray image is a linear code over GF(4) with n=192, k=6 and d=137. This code was found by Heurico 1.16 in 6.83 seconds.