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 2 X 0 X 1 2 1 X X 1 1 X 2 2 0 1 1 2 1 1 1 0 1 1 0 1 1 2 1 2 1 1 1 1 1 X 1 2 1 X 2 X 0 1 1 2 1 1 1 X 1 0 X 0 0 0 0 0 0 2 2 X X+2 X 0 0 2 X+2 X+2 X X X X 0 X X+2 X 0 X X+2 2 X+2 2 2 X+2 X 0 0 X 2 X X 0 X+2 X 2 X+2 2 X+2 X 2 0 X 0 X X+2 X X X+2 X+2 2 X X+2 0 X X+2 0 2 X+2 X X X+2 X X 2 2 0 2 2 2 X 2 0 2 X 0 X+2 2 2 0 0 0 0 X 0 0 0 0 0 0 0 0 0 2 X+2 X+2 X+2 X X+2 X+2 X 2 2 X+2 X+2 0 0 X X X X+2 X+2 X+2 2 2 X+2 X X 2 2 X+2 0 2 X 0 X 2 0 2 X 2 X X+2 2 X+2 X+2 0 X+2 X+2 0 0 2 2 2 2 X 0 X 2 0 2 X+2 X+2 X+2 0 0 0 0 X+2 X+2 X+2 X+2 2 0 X X X+2 X+2 X 2 0 0 0 0 X 0 0 2 X+2 X X X X 2 X+2 X 2 2 0 2 2 2 2 2 X X+2 X 2 X X+2 X+2 X X+2 0 2 0 0 0 X+2 X+2 X X+2 X X+2 2 2 2 X X 0 X+2 X X 0 0 X+2 2 X+2 0 X 2 X X X 0 X 2 0 0 2 2 X 0 2 2 X+2 X+2 X X X+2 2 X X X 0 X X+2 0 0 X 0 0 0 0 0 X 0 X+2 X+2 X 2 X+2 X+2 0 X X 0 2 X 0 X+2 X+2 X X+2 X 2 2 X 2 2 0 X+2 2 0 X+2 X X+2 2 0 X+2 X+2 X X+2 X+2 2 2 X+2 2 0 0 0 0 0 0 2 2 2 0 X+2 X X X 0 X X+2 2 0 X+2 X X+2 X+2 X 0 2 X+2 0 X X X+2 X X X 2 X+2 X+2 0 X+2 0 2 0 0 0 0 0 0 0 X X 2 X+2 X X+2 2 X X 0 X 0 X+2 X+2 0 X 2 2 X+2 2 X X+2 X+2 2 X 2 2 X+2 0 X X+2 0 0 0 0 X X X+2 0 X+2 X+2 0 2 X+2 0 0 X X 0 2 X+2 2 0 X+2 X+2 2 0 0 X+2 X+2 X 2 X+2 2 0 X+2 2 X+2 X X+2 0 2 0 0 X+2 X 2 2 X+2 2 X+2 0 X 2 2 generates a code of length 90 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 79. Homogenous weight enumerator: w(x)=1x^0+58x^79+117x^80+188x^81+226x^82+284x^83+392x^84+358x^85+450x^86+636x^87+529x^88+624x^89+716x^90+574x^91+590x^92+520x^93+430x^94+364x^95+301x^96+180x^97+167x^98+140x^99+70x^100+94x^101+39x^102+40x^103+40x^104+16x^105+15x^106+10x^107+7x^108+4x^109+5x^110+6x^111+1x^132 The gray image is a code over GF(2) with n=360, k=13 and d=158. This code was found by Heurico 1.16 in 8.9 seconds.