The generator matrix 1 0 1 1 1 X+2 1 1 2 1 X 1 1 1 0 1 1 2 X 1 1 X 1 1 2 1 1 1 1 1 2 2 1 1 X 1 1 1 2 1 1 1 1 1 1 0 X+2 1 X+2 1 2 X+2 0 1 2 X X X 2 X 0 X 0 X X X+2 X+2 2 X 0 1 2 2 1 1 1 1 1 1 2 X 1 1 0 0 1 1 X+2 X+3 1 0 X+1 1 X 1 3 X X+1 1 2 3 1 1 X+2 1 1 0 X+3 1 1 X+2 0 X+3 X+3 1 1 2 X+2 1 1 X+2 X+1 1 X+2 X+3 2 X+2 X+1 1 1 1 X+2 1 X+1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 X+3 1 1 0 3 X+2 3 X+3 0 1 X 0 X+1 1 0 0 X 0 X+2 0 X+2 2 X X X 2 X+2 0 2 X+2 2 X+2 X 0 X+2 2 0 X 0 X 0 2 0 X+2 X+2 2 X+2 2 X X+2 X 2 X+2 2 0 X X X 2 0 2 2 X+2 0 2 0 2 0 X X 0 0 X+2 X+2 X 0 X X 2 X 2 0 0 2 2 0 2 X 2 X 2 X X+2 0 0 X X 0 0 0 0 2 0 0 0 2 2 0 2 0 0 2 0 0 0 0 0 2 0 2 0 2 2 2 0 0 0 0 2 2 0 2 0 0 0 2 0 2 2 2 2 0 0 2 2 0 2 0 2 2 0 0 2 2 0 2 0 0 2 0 0 2 0 0 2 2 2 2 0 0 2 0 2 2 0 0 2 2 2 2 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 0 2 2 0 2 2 2 2 2 2 2 2 0 0 2 2 0 0 0 2 2 0 0 0 0 2 2 2 2 0 2 2 0 0 2 2 0 2 0 0 2 2 2 0 2 2 0 0 0 0 2 2 0 0 0 2 2 0 2 2 2 0 2 0 2 2 0 2 0 2 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 2 2 2 0 2 0 0 2 2 2 2 0 0 2 2 0 2 2 0 2 2 2 0 2 2 0 0 2 2 2 0 2 2 0 0 0 2 2 0 2 0 0 0 2 2 2 2 0 2 0 2 0 2 0 0 0 2 0 0 0 0 2 2 0 2 0 0 2 0 0 0 0 0 0 2 0 2 0 0 0 0 2 0 2 2 0 2 2 2 2 0 0 2 0 2 2 2 0 2 2 0 0 2 2 0 2 0 2 0 0 0 0 0 2 2 0 0 0 2 2 0 2 0 2 2 0 2 0 0 2 2 2 2 0 0 2 2 0 2 2 0 0 0 2 0 2 2 0 2 2 2 0 generates a code of length 84 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 76. Homogenous weight enumerator: w(x)=1x^0+54x^76+88x^77+326x^78+168x^79+472x^80+120x^81+510x^82+136x^83+472x^84+136x^85+514x^86+120x^87+379x^88+168x^89+196x^90+88x^91+62x^92+30x^94+15x^96+22x^98+10x^100+2x^102+3x^104+2x^108+2x^120 The gray image is a code over GF(2) with n=336, k=12 and d=152. This code was found by Heurico 1.16 in 1.57 seconds.