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 X 0 1 1 X 0 1 X 0 1 X 0 1 1 X 1 1 1 X 0 1 1 1 1 1 0 X 1 1 0 1 1 1 0 1 1 X 0 1 1 1 X 1 1 1 X 1 X 1 1 1 X 1 1 2 0 1 1 1 1 1 0 X 0 X+2 0 X+2 0 X+2 0 X+2 2 X+2 0 X+2 0 X+2 X 2 X+2 0 2 X+2 2 X 0 X+2 X 0 X X+2 X X 0 X+2 X 0 X+2 X 0 X+2 X 0 2 X+2 X+2 X X X+2 X 2 0 X+2 X+2 0 X X+2 2 X+2 X X 2 X+2 X 0 2 X X 2 0 X+2 X+2 2 2 0 X+2 X+2 X+2 X X+2 0 X+2 0 X+2 X X X X+2 X X+2 0 0 0 2 0 0 0 0 0 0 0 2 0 2 0 0 0 0 2 2 2 2 2 0 2 0 0 0 2 2 2 2 0 0 0 2 0 2 0 2 0 2 0 2 2 2 2 0 2 0 0 0 2 2 0 0 2 0 0 0 0 2 0 0 2 2 0 2 0 0 2 0 2 2 2 0 0 2 0 2 2 0 2 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 0 0 2 0 2 0 0 2 0 2 0 2 0 0 2 2 2 2 0 0 0 0 2 2 2 0 0 2 0 2 2 2 0 2 2 2 0 0 2 0 2 0 0 0 0 0 0 2 2 0 0 2 2 2 2 0 2 2 0 2 2 0 2 0 0 2 2 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 0 2 0 2 0 0 2 0 0 0 0 2 2 2 2 2 2 2 0 2 0 2 0 2 2 2 2 2 2 0 0 2 0 2 0 2 0 0 2 0 2 2 2 0 0 2 0 0 2 2 2 0 0 0 2 0 2 2 0 0 2 0 2 0 2 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 0 2 0 2 0 0 2 2 2 2 0 2 2 0 0 0 2 2 2 0 2 0 2 2 2 0 2 0 2 0 2 2 2 0 2 0 0 2 0 0 2 2 0 0 2 2 2 2 2 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 2 0 0 0 0 2 2 0 2 0 2 2 2 0 2 2 0 2 2 0 0 2 2 0 0 2 2 2 2 0 2 0 2 0 2 2 2 0 0 2 0 0 2 2 0 2 0 0 0 0 2 2 2 2 0 2 0 2 2 2 0 0 0 0 2 0 2 2 2 2 0 2 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 2 2 0 2 2 0 2 2 0 0 2 0 0 0 0 0 2 2 2 0 0 2 2 2 0 2 2 0 2 2 0 2 0 0 0 0 0 2 2 2 2 2 2 2 0 2 0 2 0 2 0 0 2 2 0 2 0 0 2 2 2 2 0 2 2 0 2 0 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 2 0 2 2 2 0 2 0 2 0 0 2 0 2 2 2 0 2 0 0 2 0 0 2 0 2 0 0 0 2 2 2 0 2 0 2 0 2 2 0 0 2 2 2 2 0 0 2 0 2 0 2 0 0 2 0 2 0 2 2 2 0 2 0 0 2 0 2 2 0 2 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 2 0 2 2 2 2 0 0 2 2 0 2 0 0 2 0 2 2 0 2 0 2 0 0 2 0 2 2 0 2 0 2 0 2 0 2 0 2 0 2 2 2 0 0 2 2 2 2 2 2 0 0 2 2 2 0 2 2 0 2 0 0 0 0 2 2 0 2 2 2 2 2 2 2 0 0 generates a code of length 90 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 76. Homogenous weight enumerator: w(x)=1x^0+31x^76+4x^77+78x^78+38x^79+145x^80+100x^81+223x^82+204x^83+279x^84+382x^85+418x^86+584x^87+594x^88+736x^89+668x^90+736x^91+583x^92+584x^93+403x^94+382x^95+237x^96+204x^97+166x^98+100x^99+107x^100+38x^101+44x^102+4x^103+38x^104+28x^106+22x^108+11x^110+9x^112+3x^114+2x^116+5x^118+1x^134 The gray image is a code over GF(2) with n=360, k=13 and d=152. This code was found by Heurico 1.16 in 10 seconds.