The generator matrix 1 0 1 1 1 1 1 1 0 1 1 0 1 1 1 1 1 1 0 1 1 X 1 1 1 0 1 1 a a+1 0 (a+1)X+1 a 1 (a+1)X+a+1 (a+1)X+1 1 0 (a+1)X+a+1 a (a+1)X+1 a (a+1)X+a+1 1 (a+1)X+1 (a+1)X+a+1 1 X+a 1 0 0 0 (a+1)X 0 0 0 X X X X X aX (a+1)X X aX aX aX (a+1)X 0 (a+1)X (a+1)X 0 0 aX 0 0 0 0 X 0 X aX X X aX 0 (a+1)X (a+1)X 0 aX X aX 0 X aX aX X (a+1)X (a+1)X 0 0 0 0 0 (a+1)X (a+1)X X 0 X (a+1)X (a+1)X X X aX 0 X (a+1)X (a+1)X X aX 0 0 X 0 0 generates a code of length 25 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 60. Homogenous weight enumerator: w(x)=1x^0+39x^60+48x^63+297x^64+156x^65+288x^67+927x^68+336x^69+576x^71+2646x^72+936x^73+864x^75+3768x^76+1104x^77+1296x^79+2316x^80+540x^81+114x^84+78x^88+45x^92+6x^96+3x^100 The gray image is a linear code over GF(4) with n=100, k=7 and d=60. This code was found by Heurico 1.16 in 0.433 seconds.