The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 0 X 2 X 1 X X 1 1 1 0 1 2 1 X 1 1 0 1 1 X 1 X X 1 1 1 1 X X X 1 1 X X 2 X X 0 2 1 X 2 1 1 2 1 1 1 0 X 0 0 0 0 0 0 0 X+2 X X X X X+2 X+2 X 2 X 0 X 2 0 X+2 X 2 2 X 2 2 X X 2 X+2 X+2 X X X 0 2 0 X+2 X+2 X X X+2 2 X+2 X X X+2 X+2 X 2 X 2 X 0 0 2 2 X X 2 X 2 X 2 2 2 0 X+2 X+2 X+2 2 0 2 X X+2 X 2 X+2 X X 0 2 0 X X+2 X 0 X+2 X+2 0 0 X 0 0 0 X X+2 X 2 X X+2 0 0 X X+2 2 2 2 X 2 X 2 X X+2 X+2 0 X 0 X X 0 2 X 2 X+2 2 2 X+2 2 X X+2 X 0 X X X X+2 X+2 2 0 0 X+2 0 X 2 X X 2 X X+2 X X 0 X+2 0 2 X 0 X+2 0 0 0 2 X+2 X+2 X 2 X X+2 X X 0 X 2 X+2 X 2 X+2 X+2 X X+2 2 0 0 0 X 0 X X X 0 X+2 2 X X+2 0 0 X+2 X+2 X+2 X X+2 0 2 2 X 0 0 X 0 0 X X 0 2 X+2 0 X 0 X 2 X X+2 2 2 X 2 X 0 0 2 2 X X X X X X X+2 X X+2 X+2 2 X+2 X+2 2 X 2 X+2 X X 0 X+2 X X X X+2 0 X+2 X+2 0 X+2 2 X 0 X X X+2 0 X+2 X X X+2 0 X 0 0 0 0 X X 0 X X+2 X 0 X 2 X+2 X 2 2 0 X+2 X 2 0 2 X 0 X X X X+2 2 0 X+2 2 0 0 X+2 X X+2 2 X+2 X 0 0 2 X 2 X X+2 X X X X X X+2 0 2 X+2 X X 2 X X X+2 0 2 X+2 0 2 0 0 X 2 0 0 X+2 2 X X+2 X X 2 X X X+2 2 X X 0 0 X 2 X+2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 2 2 2 2 2 2 2 0 2 0 2 0 0 2 0 0 2 2 0 2 0 2 2 0 0 2 2 2 2 0 2 2 0 2 2 2 2 2 2 0 2 0 2 2 0 2 2 2 0 2 2 2 0 0 2 2 2 2 2 2 0 2 2 0 2 0 0 2 2 2 2 2 0 0 0 0 0 0 2 0 2 0 2 2 2 2 2 2 0 2 2 2 2 2 2 0 0 0 2 0 2 0 0 0 2 2 2 0 2 2 0 0 2 0 2 0 0 0 2 2 2 2 2 0 2 2 2 0 2 0 0 2 0 0 0 2 0 2 2 2 0 0 0 2 0 0 2 2 2 0 2 0 0 0 2 2 2 0 0 2 2 2 0 0 0 generates a code of length 93 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 82. Homogenous weight enumerator: w(x)=1x^0+130x^82+4x^83+373x^84+52x^85+533x^86+112x^87+590x^88+244x^89+718x^90+364x^91+810x^92+452x^93+880x^94+428x^95+664x^96+236x^97+508x^98+112x^99+350x^100+40x^101+237x^102+4x^103+170x^104+103x^106+34x^108+22x^110+15x^112+4x^114+1x^122+1x^132 The gray image is a code over GF(2) with n=372, k=13 and d=164. This code was found by Heurico 1.16 in 9.44 seconds.