The generator matrix 1 0 1 1 1 1 1 1 1 0 1 1 1 0 1 1 0 1 1 1 X 1 1 1 1 1 X 1 1 1 aX aX 1 1 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 1 a 0 1 (a+1)X+a+1 (a+1)X+1 a 1 (a+1)X+a+1 X X aX+a+1 (a+1)X+1 1 aX+1 X+a+1 0 1 1 (a+1)X+a+1 X+a X X 0 0 0 (a+1)X 0 0 0 X aX X X X (a+1)X (a+1)X (a+1)X 0 0 aX (a+1)X (a+1)X (a+1)X 0 (a+1)X X aX X 0 (a+1)X 0 (a+1)X X (a+1)X 0 X X 0 aX 0 0 0 0 X 0 X (a+1)X (a+1)X X (a+1)X 0 (a+1)X X 0 aX X X aX (a+1)X (a+1)X (a+1)X 0 X X aX 0 0 0 0 (a+1)X X aX 0 X (a+1)X (a+1)X 0 0 0 0 0 (a+1)X (a+1)X (a+1)X (a+1)X 0 aX X aX 0 aX 0 aX aX X 0 X X (a+1)X (a+1)X aX 0 X (a+1)X (a+1)X X aX X X (a+1)X (a+1)X 0 0 0 generates a code of length 37 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 96. Homogenous weight enumerator: w(x)=1x^0+66x^96+108x^97+168x^99+222x^100+396x^101+636x^103+390x^104+744x^105+1104x^107+999x^108+1608x^109+1944x^111+1326x^112+1836x^113+1704x^115+828x^116+1260x^117+588x^119+78x^120+192x^121+87x^124+54x^128+24x^132+18x^136+3x^144 The gray image is a linear code over GF(4) with n=148, k=7 and d=96. This code was found by Heurico 1.16 in 0.738 seconds.