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 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 X aX+1 a X+a aX X+1 aX+a (a+1)X+a+1 aX+a+1 X+a+1 (a+1)X generates a code of length 33 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 98. Homogenous weight enumerator: w(x)=1x^0+108x^98+96x^99+3x^100+36x^102+9x^104+3x^116 The gray image is a linear code over GF(4) with n=132, k=4 and d=98. As d=98 is an upper bound for linear (132,4,4)-codes, this code is optimal over F4[X,sigma]/(X^2) for dimension 4. This code was found by Heurico 1.16 in -3.62e-008 seconds.