The generator matrix 1 0 0 0 1 1 1 X 1 1 1 1 1 1 0 aX 1 1 1 1 1 1 1 1 (a+1)X 1 0 1 0 0 1 X (a+1)X+1 1 a X+a a+1 X+a+1 aX 1 1 X a (a+1)X+a+1 X+1 X X+a (a+1)X+a (a+1)X+1 aX+a (a+1)X (a+1)X 0 0 1 0 a+1 (a+1)X+1 a (a+1)X+1 0 aX+1 1 (a+1)X (a+1)X (a+1)X+1 (a+1)X+a 1 aX+1 (a+1)X+a+1 aX+a 1 (a+1)X+a+1 (a+1)X+a aX (a+1)X+a 0 X 0 0 0 1 1 a+1 a aX+a+1 a X+1 aX+a (a+1)X+1 X+1 X+a+1 aX+a a+1 X+a (a+1)X+1 aX+a+1 aX a (a+1)X X+1 (a+1)X+1 1 aX+1 0 0 0 0 (a+1)X 0 (a+1)X 0 X X X X (a+1)X aX X (a+1)X (a+1)X aX 0 aX (a+1)X X aX (a+1)X aX 0 generates a code of length 26 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 63. Homogenous weight enumerator: w(x)=1x^0+252x^63+561x^64+576x^65+1260x^66+2088x^67+2385x^68+3732x^69+4776x^70+7608x^71+6267x^72+10608x^73+13704x^74+19296x^75+12654x^76+22968x^77+24384x^78+30780x^79+15414x^80+22704x^81+19884x^82+17880x^83+8706x^84+6996x^85+3576x^86+1968x^87+1038x^88+54x^92+12x^96+9x^100+3x^104 The gray image is a linear code over GF(4) with n=104, k=9 and d=63. This code was found by Heurico 1.16 in 73.8 seconds.