The generator matrix 1 0 1 1 1 1 1 1 1 X 1 1 1 1 aX 1 1 1 1 (a+1)X 1 1 1 1 0 1 1 1 1 X 1 1 1 1 aX 1 1 1 1 (a+1)X 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 (a+1)X+1 a (a+1)X+a+1 X aX+1 X+a aX+a+1 1 aX X+1 aX+a X+a+1 1 (a+1)X 1 (a+1)X+a a+1 1 0 (a+1)X+1 a (a+1)X+a+1 1 X aX+1 X+a aX+a+1 1 aX X+1 aX+a X+a+1 1 (a+1)X 1 (a+1)X+a a+1 1 0 X (a+1)X+1 aX+1 a X+a (a+1)X+a+1 aX+a+1 aX X+1 aX+a X+a+1 (a+1)X generates a code of length 53 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 158. Homogenous weight enumerator: w(x)=1x^0+108x^158+96x^159+36x^162+3x^164+9x^168+3x^180 The gray image is a linear code over GF(4) with n=212, k=4 and d=158. This code was found by Heurico 1.16 in 0.016 seconds.