The generator matrix 1 0 1 1 1 X+2 1 1 0 1 1 X+2 1 1 X+2 1 1 0 1 0 1 1 1 X+2 1 1 0 1 X+2 1 1 1 1 X+2 1 1 1 0 X+2 1 1 1 2 1 1 1 X 1 1 1 0 X 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 X+2 X+2 1 1 1 2 1 2 2 X 1 1 1 X 0 X+2 X+2 1 1 0 1 X+1 X+2 1 1 0 X+1 1 X+2 3 1 0 X+1 1 X+2 3 1 3 1 0 X+2 X+1 1 X+2 X+1 1 0 1 2 3 X+2 X 1 3 X+1 0 1 1 3 X X+3 1 1 0 X+3 1 X+2 0 X+3 1 1 2 X X 3 2 0 2 0 X X+1 1 X+1 2 X X+2 1 X+2 1 X+3 1 1 1 X+3 3 X 1 X 1 1 1 X X 1 1 1 1 1 X+1 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 0 2 0 2 0 2 2 0 2 2 0 2 2 0 0 2 0 0 2 0 2 2 2 2 0 2 2 2 0 0 0 0 0 0 2 2 2 2 2 0 0 0 2 0 2 0 0 2 0 2 2 0 0 0 0 0 0 2 0 2 0 2 0 0 2 2 0 2 2 2 0 0 2 0 0 0 2 0 0 0 0 0 2 0 2 2 0 2 0 2 0 2 0 2 2 0 0 2 0 0 2 0 0 0 2 0 2 2 2 2 0 0 0 2 0 0 2 0 2 2 2 0 0 2 2 2 2 0 0 0 2 0 2 2 0 2 0 0 0 2 2 0 0 0 2 0 2 2 2 2 0 0 2 2 2 0 2 2 2 2 0 0 2 2 0 0 0 0 2 0 0 0 0 2 2 0 2 2 0 0 2 2 2 2 0 2 2 0 0 2 0 0 0 2 2 0 0 0 0 2 0 2 0 2 0 0 0 2 0 2 0 0 2 0 2 0 0 2 2 2 0 2 0 0 2 0 0 2 0 2 2 0 0 2 2 0 2 2 0 2 2 0 0 2 2 2 2 2 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 2 0 0 2 2 2 0 0 2 0 2 2 0 2 2 0 0 2 0 0 2 2 0 2 2 0 0 0 2 0 2 0 2 0 2 0 0 2 2 0 0 2 2 0 0 0 0 2 2 2 2 2 2 0 2 0 0 0 0 2 0 2 2 0 0 2 2 0 0 0 0 2 0 2 0 2 2 0 2 0 0 0 0 0 0 0 2 0 2 0 0 0 2 0 2 0 2 2 2 2 2 0 0 0 2 2 2 0 2 2 2 2 0 2 0 2 2 2 0 2 2 2 2 0 2 2 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 0 0 0 0 2 2 0 0 2 2 2 2 2 0 0 0 0 0 2 2 2 2 2 2 0 0 2 0 0 0 0 0 0 0 2 2 0 2 0 0 2 2 2 2 0 2 0 0 2 0 2 2 0 2 0 0 0 2 0 0 0 2 2 0 2 0 2 2 0 0 2 2 0 0 2 2 2 2 2 0 0 0 0 2 2 2 2 0 0 2 2 2 0 2 2 0 0 2 2 0 0 0 2 0 0 0 0 0 2 2 2 0 2 0 0 0 0 2 generates a code of length 91 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 82. Homogenous weight enumerator: w(x)=1x^0+44x^82+66x^83+174x^84+200x^85+244x^86+312x^87+263x^88+312x^89+323x^90+268x^91+319x^92+312x^93+249x^94+312x^95+226x^96+200x^97+144x^98+66x^99+23x^100+8x^102+7x^104+9x^106+3x^108+1x^110+7x^112+1x^116+2x^126 The gray image is a code over GF(2) with n=364, k=12 and d=164. This code was found by Heurico 1.16 in 1.77 seconds.