The generator matrix 1 0 1 1 1 X+2 2 1 1 1 1 0 0 1 1 1 X 1 1 0 1 0 1 X 1 1 1 1 1 X 1 1 2 X+2 1 1 2 1 1 1 X X 2 1 1 1 X+2 1 0 1 1 2 1 1 X+2 1 0 1 0 1 1 1 0 1 1 X 1 2 1 2 1 1 1 1 1 X+2 X+2 0 1 X+2 X 1 0 1 2 0 1 1 0 1 1 1 0 X+1 2 X+1 1 1 X+3 2 1 1 0 0 1 X+3 1 X+2 1 X+1 X 1 X+2 3 1 X+1 X+2 1 1 X+3 X 1 X+1 X+3 2 1 1 1 0 X 1 1 2 1 X+3 X+2 1 3 0 1 X+3 1 X+3 1 X+1 X X+1 1 X+1 X+3 1 X+3 1 2 1 3 1 2 2 3 1 1 1 0 1 X+2 3 X X+3 1 0 0 X 0 0 0 0 X+2 2 X X+2 X+2 0 0 2 2 0 2 X+2 X+2 X X+2 X+2 X X X 2 2 X X+2 X 0 X X+2 X+2 2 X+2 0 0 X+2 2 2 X+2 X+2 X 0 X 2 0 X+2 2 X+2 X+2 X+2 0 X 0 2 0 X 2 X+2 X 0 X X+2 0 X X X+2 X+2 2 X+2 X X X X+2 2 X+2 X+2 2 X X 0 2 0 0 0 X 0 0 0 0 X+2 X X X+2 X+2 X 0 2 X X+2 2 0 X 2 X+2 X+2 2 X+2 X X+2 X+2 2 X+2 X+2 X 2 0 2 X 2 X 0 2 X+2 2 0 2 X 2 0 X+2 X+2 0 X X X+2 X+2 X 2 0 2 0 2 X+2 X+2 X+2 2 X 0 0 X 2 X+2 2 X+2 2 0 X 2 0 2 X 0 2 0 2 X 0 0 0 0 X 0 X+2 X X+2 X+2 2 0 X+2 0 X 0 2 X 2 X+2 X+2 0 2 X X X+2 2 0 X 0 2 X 2 X 2 X X X X+2 2 X+2 X X X X+2 2 0 2 2 0 X 0 2 0 X 2 2 X X+2 X+2 0 X+2 0 0 0 0 2 X+2 0 2 X X+2 X+2 0 0 X+2 2 X+2 2 0 X+2 X+2 X X+2 X+2 0 0 0 0 0 2 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 0 2 2 2 2 0 2 0 2 2 0 2 0 2 0 2 2 0 0 2 2 0 2 0 0 2 2 2 2 0 2 0 0 2 2 2 0 0 0 0 0 2 0 2 0 0 0 2 2 2 2 2 2 2 2 0 2 0 2 2 0 2 2 2 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+134x^76+92x^77+389x^78+240x^79+625x^80+420x^81+715x^82+492x^83+872x^84+544x^85+722x^86+560x^87+666x^88+404x^89+411x^90+236x^91+283x^92+76x^93+141x^94+8x^95+74x^96+41x^98+22x^100+12x^102+9x^104+1x^106+1x^108+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 6.78 seconds.