The generator matrix 1 0 1 1 1 1 1 1 1 0 1 1 1 1 0 1 1 0 1 1 1 1 X 1 1 (a+1)X 1 0 1 1 1 1 X 1 1 1 0 1 1 a a+1 0 (a+1)X+1 (a+1)X+a+1 a 1 0 (a+1)X+1 (a+1)X+a+1 a 1 X a 1 (a+1)X+1 (a+1)X+a+1 (a+1)X+a+1 X+a 1 (a+1)X+1 0 1 1 1 X+1 X+a (a+1)X+1 aX+1 1 aX+1 0 (a+1)X+a+1 0 0 (a+1)X 0 0 0 X aX X X X (a+1)X (a+1)X aX aX aX aX aX aX (a+1)X X aX 0 0 0 0 (a+1)X aX 0 X X (a+1)X aX 0 aX aX 0 0 0 X 0 X (a+1)X (a+1)X X (a+1)X 0 (a+1)X X 0 (a+1)X X (a+1)X 0 0 (a+1)X X (a+1)X (a+1)X 0 (a+1)X aX 0 X (a+1)X X (a+1)X aX X (a+1)X X aX 0 0 0 0 (a+1)X (a+1)X (a+1)X (a+1)X 0 aX X aX 0 (a+1)X X X 0 (a+1)X X (a+1)X X X X X X aX (a+1)X aX 0 aX X (a+1)X X aX (a+1)X X generates a code of length 36 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 94. Homogenous weight enumerator: w(x)=1x^0+84x^94+243x^96+552x^98+531x^100+1608x^102+690x^104+3552x^106+1077x^108+4020x^110+996x^112+2328x^114+345x^116+144x^118+108x^120+51x^124+36x^128+12x^132+6x^136 The gray image is a linear code over GF(4) with n=144, k=7 and d=94. This code was found by Heurico 1.16 in 43.1 seconds.