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 1 1 1 0 X 1 1 1 1 1 2 X 1 1 1 X 1 1 1 1 1 X 1 1 X X 1 2 0 1 X 1 1 0 0 1 X 0 1 X 1 2 0 1 1 1 1 0 X 0 X 0 0 X X+2 0 2 X+2 X 0 X X 0 2 X X+2 2 0 2 X 2 X 0 2 X X+2 0 X+2 X+2 2 2 X+2 X 0 0 X X 0 0 X X+2 X+2 X+2 X 0 X X X 2 0 X 0 X+2 0 X X 0 X+2 0 2 X X+2 X+2 X X X+2 2 2 X+2 X X 2 X 0 X X 2 X 2 2 0 2 2 0 0 X X 0 X+2 X 0 2 X 0 X 0 X+2 2 X+2 X X 2 2 2 X 0 2 X+2 0 X+2 0 0 X+2 X X 2 X 0 X 0 X+2 X+2 0 X 2 0 2 2 X X 2 2 X X+2 0 0 X+2 X+2 X 0 X+2 2 X 0 X+2 X+2 X 2 0 X+2 2 X X+2 0 2 0 2 X X X X X X 2 X X+2 2 X+2 X 0 0 0 2 0 0 0 0 2 2 2 0 2 0 2 0 0 2 2 0 2 0 0 0 2 2 0 0 2 2 2 0 0 2 0 0 0 0 2 0 2 2 2 0 0 0 2 2 2 0 0 0 0 2 2 2 2 0 2 2 2 2 2 2 0 0 0 2 2 0 2 0 2 2 0 2 0 0 2 0 2 2 2 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 0 2 2 0 2 2 0 2 2 0 2 2 0 2 2 0 0 2 2 0 0 2 0 2 0 2 0 2 2 2 2 2 2 2 0 0 2 2 2 2 2 2 0 0 0 2 0 2 0 2 2 2 0 2 2 2 2 2 2 0 2 2 2 0 2 0 0 0 0 0 0 2 0 0 0 2 0 2 2 2 2 2 2 0 2 0 0 0 0 2 2 0 0 2 2 0 2 0 2 0 0 2 2 2 2 2 2 2 2 0 2 0 2 0 0 0 0 0 2 2 0 2 0 2 2 2 2 2 0 0 2 0 2 2 0 0 0 2 2 0 2 0 2 2 0 0 0 0 2 0 2 2 0 0 0 0 0 0 2 0 2 2 2 2 2 2 2 0 0 0 2 0 2 0 0 0 0 2 0 0 2 2 0 2 0 2 2 0 2 2 2 2 0 0 2 2 2 0 0 0 0 0 2 2 2 2 0 0 2 0 0 0 2 2 0 2 0 0 2 2 2 0 0 2 0 0 2 2 2 0 0 2 2 2 0 2 2 2 0 0 0 0 0 0 0 2 0 0 0 2 0 0 2 2 2 0 0 2 2 2 2 0 2 0 2 0 2 0 0 0 2 0 2 2 0 2 2 0 2 0 0 2 2 0 2 0 0 2 2 0 2 0 2 0 2 0 0 2 0 2 2 0 0 0 2 2 2 0 2 2 0 2 2 2 0 2 0 0 2 2 0 0 2 0 generates a code of length 86 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 76. Homogenous weight enumerator: w(x)=1x^0+73x^76+203x^78+36x^79+254x^80+140x^81+226x^82+388x^83+205x^84+460x^85+226x^86+460x^87+228x^88+388x^89+165x^90+140x^91+164x^92+36x^93+129x^94+71x^96+62x^98+19x^100+10x^102+5x^104+3x^106+3x^108+1x^136 The gray image is a code over GF(2) with n=344, k=12 and d=152. This code was found by Heurico 1.16 in 2.2 seconds.