The generator matrix 1 0 1 1 1 X+2 1 1 2 1 X 1 1 1 X+2 0 1 1 X+2 1 1 1 1 2 1 0 1 1 1 2 1 1 1 1 X+2 1 2 1 X X+2 1 X+2 1 1 0 1 1 2 1 X 1 1 1 X+2 2 X+2 1 1 1 X 2 X 1 1 2 1 1 X+2 2 1 2 1 1 1 1 1 0 1 1 X+2 1 0 0 1 2 0 1 1 0 X+3 1 X X+1 1 1 1 0 X+3 X+2 1 1 X X+1 1 3 X+2 0 3 1 3 1 X X+1 X 1 X+3 2 X X 1 0 1 X+1 1 1 3 1 X+3 0 1 X+3 2 1 0 1 3 0 X+2 1 1 1 1 2 0 1 1 1 1 3 1 X+3 2 1 1 X+3 1 X+2 3 2 X+2 X+1 1 0 X 1 X 0 1 X+3 1 0 0 X 0 X+2 0 0 0 2 2 2 X 0 X X+2 X+2 X X+2 X X 0 X 0 X 2 X 0 X X+2 0 X+2 0 0 X+2 0 X+2 2 2 X+2 X X 0 X+2 0 X X X 2 2 X 2 2 X X 0 2 2 2 X+2 0 2 X+2 X X+2 X 2 X X+2 X 2 X 2 X X+2 2 2 0 X X+2 0 0 X X+2 0 X+2 0 0 0 X 0 0 X 2 X+2 X X X X X+2 X+2 X+2 2 X+2 0 X 2 2 0 2 X+2 X X+2 X+2 X 0 X+2 X 0 0 X X X+2 0 X 2 X+2 X 2 0 0 X 2 2 X X+2 0 X X+2 2 X X X+2 2 X+2 X+2 X+2 X+2 X 0 X+2 0 X+2 2 X+2 X+2 0 2 X+2 X X X 0 0 2 0 X 0 2 X 0 0 0 0 0 2 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 0 0 2 2 0 0 2 0 2 0 2 0 2 2 0 2 0 0 2 2 2 2 0 0 0 2 2 0 2 2 0 2 2 0 0 2 2 0 0 0 0 0 2 2 0 0 2 2 2 0 0 2 2 0 0 0 0 0 0 2 0 2 2 2 2 2 2 2 0 0 2 0 0 0 0 2 2 0 2 0 0 0 2 0 0 2 2 0 0 0 0 0 2 2 2 0 2 2 2 2 0 0 2 0 0 2 0 2 0 0 0 0 2 0 2 2 2 0 0 0 2 2 2 2 0 0 0 2 0 0 2 2 0 0 2 2 2 0 0 0 0 0 0 0 0 2 0 2 2 0 2 0 0 2 0 0 0 2 2 0 0 2 2 0 2 2 2 0 2 0 2 2 2 0 0 2 2 0 0 2 2 0 0 2 0 0 2 0 0 0 2 0 2 0 2 0 2 0 2 2 2 2 2 2 0 2 2 0 2 2 0 0 2 0 0 2 2 0 0 2 2 0 2 0 generates a code of length 85 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 76. Homogenous weight enumerator: w(x)=1x^0+112x^76+52x^77+437x^78+268x^79+592x^80+416x^81+740x^82+520x^83+805x^84+584x^85+773x^86+496x^87+645x^88+416x^89+455x^90+248x^91+305x^92+68x^93+112x^94+4x^95+57x^96+23x^98+28x^100+18x^102+11x^104+2x^106+2x^108+1x^112+1x^120 The gray image is a code over GF(2) with n=340, k=13 and d=152. This code was found by Heurico 1.16 in 6.03 seconds.