The generator matrix 1 0 0 0 1 1 1 (a+1)X aX 1 1 1 aX 1 1 1 1 1 1 1 (a+1)X 1 1 0 1 0 1 0 0 1 X (a+1)X+1 1 1 a X+a+1 (a+1)X 1 X+1 X X+a X+1 (a+1)X+1 aX+1 (a+1)X+a+1 1 1 0 1 aX 0 0 1 0 a+1 (a+1)X+1 a a (a+1)X+a+1 0 a+1 aX X+1 X+a+1 aX+1 aX+a+1 (a+1)X X (a+1)X+1 X+a (a+1)X X+a aX+1 (a+1)X+a+1 X 0 0 0 1 1 a+1 a X+1 aX+a a aX+a aX+a+1 X+1 (a+1)X+a+1 X+1 0 aX a+1 (a+1)X+a+1 aX+a+1 X+a aX+a+1 X (a+1)X+a+1 (a+1)X 0 0 0 0 (a+1)X 0 (a+1)X (a+1)X (a+1)X X aX aX 0 0 X (a+1)X aX X (a+1)X (a+1)X aX aX X X aX 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+339x^60+312x^61+432x^62+1104x^63+2418x^64+2112x^65+2748x^66+4536x^67+9102x^68+6888x^69+8064x^70+13632x^71+21450x^72+16224x^73+16056x^74+25296x^75+33756x^76+20136x^77+16560x^78+20016x^79+20484x^80+9312x^81+5292x^82+3000x^83+2466x^84+312x^85+54x^88+33x^92+9x^96 The gray image is a linear code over GF(4) with n=100, k=9 and d=60. This code was found by Heurico 1.16 in 67.9 seconds.