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 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 0 1 1 X 1 1 2 1 1 1 2 1 1 1 1 2 1 1 1 1 2 1 0 1 X 1 1 1 0 0 0 X 0 X 0 0 X X+2 0 2 X X+2 0 X 2 X 0 2 X X+2 X 0 0 X 2 2 X+2 0 X+2 X+2 2 X X X+2 2 0 X X 2 0 X+2 X 0 X 0 2 0 X+2 X 2 0 0 2 X X+2 X X X X+2 X+2 0 2 X X 2 X 2 0 2 2 2 0 2 X X+2 2 2 X X+2 X X+2 X X+2 2 0 X 2 0 0 X X 0 X+2 X 0 2 X X 0 2 X X+2 0 0 X X 0 X+2 2 X+2 2 2 X X+2 X+2 2 X 2 0 X 0 0 0 X 2 X X X+2 0 2 X+2 X+2 X+2 2 2 2 X 2 X+2 2 0 X+2 X X+2 0 X X X+2 2 2 X+2 X 2 2 2 X+2 X X+2 X+2 0 X 0 X 2 X+2 X+2 0 X+2 X+2 X 2 0 0 X 0 0 0 2 0 0 0 2 2 2 0 0 2 2 0 2 2 2 0 0 2 0 2 2 0 2 0 0 0 2 2 2 0 0 2 2 2 2 2 2 2 0 2 0 0 0 2 2 2 2 0 2 0 0 2 0 0 0 0 2 2 0 0 0 0 2 0 0 0 0 2 2 0 2 2 2 0 2 0 2 0 0 0 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 2 0 2 2 2 2 0 2 0 0 2 0 2 2 0 2 0 0 0 2 2 2 2 2 0 2 0 2 2 2 2 0 2 2 2 2 2 0 2 2 0 0 2 0 2 0 2 0 2 0 0 0 0 2 2 2 0 2 2 2 0 0 2 2 2 2 0 2 0 2 2 0 0 0 0 0 2 0 0 0 2 2 2 2 2 2 2 0 0 2 0 2 2 2 0 2 0 0 0 2 0 2 2 0 0 0 2 0 0 2 0 2 0 2 0 0 2 0 0 2 0 2 2 0 2 2 2 2 2 0 0 0 0 2 2 2 2 2 0 2 0 0 2 0 2 2 2 0 2 2 2 2 0 2 2 2 2 2 0 0 0 0 0 0 2 2 2 2 0 2 0 2 2 0 2 2 2 2 0 2 0 0 2 0 0 2 0 2 0 2 0 2 0 2 0 2 2 2 0 0 2 2 0 0 0 0 0 0 0 0 2 0 2 0 2 2 2 2 0 0 2 0 2 2 0 0 0 2 2 2 0 2 0 0 2 2 0 2 2 2 2 2 2 0 0 generates a code of length 87 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 80. Homogenous weight enumerator: w(x)=1x^0+211x^80+44x^82+503x^84+308x^86+475x^88+148x^90+194x^92+12x^94+106x^96+39x^100+6x^104+1x^152 The gray image is a code over GF(2) with n=348, k=11 and d=160. This code was found by Heurico 1.16 in 6.74 seconds.