The generator matrix 1 0 0 0 0 1 1 1 1 1 1 2 1 X 1 X 1 0 0 X+2 1 X+2 2 X 1 0 X+2 1 1 1 1 1 1 1 1 X 0 X+2 1 X+2 0 1 1 X 0 X 1 2 2 X+2 1 1 1 0 X+2 2 0 1 1 X 1 X 2 2 1 1 1 1 1 1 1 2 X 2 0 1 1 2 1 X 1 X 0 1 1 X 1 2 1 1 0 1 0 0 0 0 2 2 0 3 1 1 X+1 1 X 1 X+3 1 0 1 X 1 1 2 X+1 X+2 X 0 X+3 3 X+1 X+2 1 0 3 1 1 X+2 1 X+2 0 X+2 X+1 1 1 0 3 1 1 1 3 0 0 X+2 2 X 1 X 0 0 X 1 2 1 X X X+3 3 1 X+3 3 1 X 1 1 0 1 1 X+3 1 1 1 1 X+1 3 1 1 1 0 0 0 0 1 0 0 0 3 X+1 1 X+3 1 X 2 1 X X+3 2 3 1 X+2 X+2 2 X+3 X 3 1 1 X+3 X X+3 X+2 X+3 2 2 X X+2 1 1 X 1 X X+2 X+1 3 X+3 1 0 X X+3 2 2 0 2 X+2 1 1 1 3 0 X+2 0 X X 2 1 X+3 2 X 2 3 X+1 X+2 1 X+1 3 3 1 X 1 3 X+1 0 X+1 1 X+3 0 3 0 2 0 0 0 0 1 0 1 1 X X X+3 X+2 3 3 0 3 X+2 X+1 X+1 X+1 X 2 3 3 1 X+1 1 X+2 X+1 X X+2 0 X+3 3 1 X 0 1 X X 3 1 X+3 X+1 X+2 X+3 X+3 X+2 1 X 1 1 X X+1 1 1 2 3 3 X+2 X 3 3 0 X+2 0 X+1 X 1 3 3 X X+1 2 3 X+2 X+3 0 0 X+1 X+3 2 2 0 2 X X+1 X+1 X X+2 0 0 0 0 0 1 1 2 0 X+1 X+3 2 X+1 1 X+1 X 0 X 2 X+2 3 X+1 0 1 3 0 1 X+3 3 1 1 2 X+1 X 1 2 X+2 0 3 1 2 0 X X+3 X+2 X+1 X+3 0 X 3 X+3 X X+2 1 1 0 X X+2 3 X+3 1 2 X+1 1 X 0 0 2 2 X+3 3 X+3 X+2 X+1 X+3 3 X+3 X+3 X+1 X 1 2 1 1 0 1 0 X+1 1 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 X+2 X X X+2 X+2 X X X+2 X X X X+2 X X+2 X X X X 2 X+2 X X+2 X X X X X+2 X+2 X 2 X X 2 X X X 2 2 X 0 X+2 2 0 0 X+2 X+2 2 X+2 2 X+2 0 X 0 generates a code of length 90 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 77. Homogenous weight enumerator: w(x)=1x^0+86x^77+424x^78+878x^79+1523x^80+1918x^81+3207x^82+4124x^83+5335x^84+6284x^85+7725x^86+8388x^87+9786x^88+10008x^89+10972x^90+10210x^91+10448x^92+8534x^93+8170x^94+6334x^95+5320x^96+3810x^97+2799x^98+1862x^99+1201x^100+708x^101+469x^102+230x^103+154x^104+72x^105+22x^106+36x^107+24x^108+4x^109+4x^110+2x^111 The gray image is a code over GF(2) with n=360, k=17 and d=154. This code was found by Heurico 1.13 in 330 seconds.