The generator matrix 1 0 0 1 1 1 X 1 1 1 X 2 X 1 1 2 1 1 1 2 X+2 X+2 1 X+2 1 0 X 1 1 X+2 1 1 2 1 1 2 X 1 1 1 2 1 0 1 1 X+2 1 1 1 1 1 0 1 0 X 0 1 1 1 2 X+2 0 1 1 X 1 1 1 1 1 1 X+2 1 X 1 X X+2 1 1 1 1 X 1 1 X+2 1 0 1 1 0 0 1 0 0 1 X+3 1 2 3 X+3 X 1 1 2 2 X X+1 3 2 1 1 X 1 1 X 1 2 X X+1 1 X+2 3 1 2 1 X 1 X+1 X+2 X+1 1 1 1 2 X 1 3 X+2 X+2 2 X+2 X+2 X+1 1 1 1 3 2 1 2 1 1 0 X 1 2 X 2 3 1 1 1 X+1 1 X+1 2 1 X+2 3 X+3 1 1 X X+1 1 1 1 0 0 1 0 0 1 1 X+1 0 1 X+1 3 X 1 X+2 X+3 2 X+2 1 X+3 0 X+1 2 3 1 X+3 2 1 X+1 1 X 2 X+1 0 X X 3 X+3 1 X 1 0 X 1 3 2 0 3 1 X 3 0 3 X+1 1 2 0 X+2 3 X+1 2 X+2 1 1 1 X X+1 X+1 3 X 1 1 X+2 2 0 X+3 X+2 1 1 1 X+3 0 X+1 2 1 1 X+2 1 X+1 3 2 3 X 0 0 0 X X X+2 2 X+2 X X+2 2 2 0 X+2 X 0 0 2 2 X+2 X X+2 2 X+2 2 X+2 X+2 2 0 X+2 2 X+2 X+2 0 X X X 2 X+2 X X+2 2 2 0 X 2 2 0 X 2 X 0 2 0 X 2 0 X+2 X+2 X+2 X X+2 0 2 X+2 X+2 X X X X+2 X X X 2 2 X+2 0 2 0 X+2 0 X+2 0 0 2 2 0 X+2 0 X+2 0 0 0 0 2 0 0 2 0 2 2 2 2 0 2 2 0 0 0 0 2 2 2 2 2 0 0 2 2 2 0 2 2 2 0 2 0 2 2 2 2 0 0 2 0 0 0 2 0 2 2 0 2 2 0 2 0 0 0 2 0 2 2 2 0 2 2 2 0 0 2 0 2 2 0 2 2 0 2 2 2 2 2 2 2 2 0 2 0 2 0 0 0 0 0 2 2 0 0 2 0 0 2 2 2 2 2 0 2 2 0 0 2 2 2 0 0 0 0 0 2 2 0 0 2 2 0 0 0 0 2 0 2 2 2 0 2 0 0 2 2 2 2 0 2 0 0 0 0 0 2 0 2 0 2 2 2 0 2 2 0 0 0 2 0 0 0 0 0 0 2 2 2 2 2 0 0 0 2 2 generates a code of length 90 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 82. Homogenous weight enumerator: w(x)=1x^0+148x^82+260x^83+538x^84+512x^85+712x^86+584x^87+716x^88+568x^89+703x^90+504x^91+628x^92+412x^93+470x^94+368x^95+298x^96+196x^97+216x^98+132x^99+91x^100+36x^101+42x^102+8x^103+25x^104+4x^105+7x^106+7x^108+4x^110+2x^114 The gray image is a code over GF(2) with n=360, k=13 and d=164. This code was found by Heurico 1.16 in 4.92 seconds.