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 0 1 X 1 X 1 1 1 1 1 1 1 1 1 1 1 0 1 1 X 1 1 1 1 0 1 1 0 1 X 1 2 0 1 2 1 0 1 1 1 0 1 X X 1 2 0 1 0 1 1 0 2 2 1 X 0 X 0 X 0 0 X X+2 0 2 X+2 X 0 X X 2 2 0 X X+2 0 0 X+2 X+2 2 X+2 X 2 2 X X 0 X+2 0 2 X 2 0 X X 2 2 0 X X+2 X+2 X+2 0 X+2 0 2 2 X X 0 0 X 2 X 2 2 X+2 X+2 0 2 X 2 X X X X X X 0 0 2 X X X X+2 X 0 X 0 X X+2 X+2 X X X 0 0 0 0 X X 0 X+2 X 0 2 X 0 X 0 X+2 2 X+2 X 0 X 2 X+2 0 2 X 2 X 2 0 X X+2 2 X+2 0 X X 0 X 0 X X+2 X X X+2 X X+2 X+2 2 0 X 0 0 2 0 X+2 0 X+2 X 2 2 X+2 X 0 0 X X X+2 X+2 X+2 2 0 X+2 0 X+2 2 X 2 0 X X X X X 2 2 2 X X+2 2 2 X X 0 0 0 0 2 0 0 0 0 2 2 2 0 2 2 2 2 2 0 2 2 2 2 2 2 2 2 0 0 2 2 0 0 2 2 2 2 0 0 2 2 0 2 2 2 0 0 0 0 0 2 2 0 2 0 0 2 0 2 0 0 2 0 2 2 0 0 2 0 2 0 0 0 0 0 0 0 0 0 2 2 0 0 0 2 2 0 0 2 2 2 0 2 0 0 0 0 2 0 0 0 0 0 0 2 2 2 0 0 0 0 2 2 2 2 2 0 2 0 2 0 2 2 0 0 0 2 2 2 2 0 0 2 2 0 0 0 0 0 2 0 2 0 2 2 2 2 2 0 0 2 2 0 0 0 0 0 0 2 2 2 0 2 0 2 0 2 0 0 0 2 2 2 0 0 0 0 2 2 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 2 0 2 0 2 0 0 2 2 0 0 0 0 2 2 2 2 0 0 2 0 2 0 2 2 2 2 2 0 0 0 0 2 2 2 2 0 2 2 2 2 2 0 0 2 2 2 0 2 2 0 0 0 0 0 2 2 0 0 2 2 2 2 0 2 0 0 0 0 0 0 2 2 2 0 0 2 0 0 2 0 0 0 0 0 0 2 0 2 2 2 2 2 0 2 2 0 2 2 0 2 0 0 2 0 2 2 2 2 2 2 0 0 0 2 2 2 0 0 2 0 2 0 2 2 2 0 2 2 0 0 2 2 0 0 2 0 0 2 2 0 0 2 0 2 0 0 0 0 2 0 0 2 0 2 0 2 0 0 0 2 0 2 2 2 2 0 0 2 2 2 2 0 0 0 0 0 0 0 2 0 0 0 2 0 2 2 0 0 2 0 2 0 0 2 0 2 2 0 0 2 2 0 2 2 0 0 0 2 0 2 2 2 2 2 2 0 2 0 2 0 0 2 0 2 0 2 2 0 0 2 2 0 2 2 0 0 0 0 0 2 0 0 2 0 2 0 2 2 0 0 2 2 0 0 2 0 0 2 0 2 0 2 0 generates a code of length 92 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 82. Homogenous weight enumerator: w(x)=1x^0+84x^82+12x^83+194x^84+56x^85+272x^86+56x^87+363x^88+176x^89+473x^90+232x^91+501x^92+192x^93+420x^94+160x^95+279x^96+80x^97+147x^98+44x^99+123x^100+8x^101+78x^102+8x^103+61x^104+53x^106+12x^108+6x^110+3x^114+1x^116+1x^140 The gray image is a code over GF(2) with n=368, k=12 and d=164. This code was found by Heurico 1.16 in 2.74 seconds.