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 0 1 X 1 1 1 1 1 1 X 1 1 0 1 0 1 2 1 1 1 0 X 1 X 1 2 1 2 X X 1 1 1 2 1 1 1 X 2 1 1 1 0 X X X 1 2 1 0 X 0 0 0 X X+2 X 0 2 2 0 X X+2 X X+2 X+2 X+2 X+2 2 0 0 X+2 2 0 2 X X X+2 2 X+2 X X+2 2 2 0 X X X 2 X 2 X 2 X+2 2 2 2 0 X 2 2 X 0 2 0 X X 2 X X+2 X X X 2 X+2 2 X X+2 X X+2 0 X 2 X X X 2 X X+2 X+2 X 0 X X+2 0 0 X 0 X X X+2 0 0 0 X+2 X+2 X X 2 0 X 2 0 X+2 X+2 2 X+2 2 X+2 0 2 2 X+2 X+2 0 X+2 0 2 0 X+2 X+2 X+2 2 0 X 0 0 0 2 2 X+2 X X X 2 0 2 0 2 X 2 X+2 X X+2 0 X X+2 2 X 0 0 X 0 2 X+2 2 X+2 X+2 0 2 X+2 2 2 X X+2 0 X+2 X+2 2 0 0 0 X X 0 X+2 X 2 X+2 X 2 2 X X 2 0 X+2 0 X 2 X X 0 2 X 0 X+2 X X X+2 2 X+2 0 0 X X 0 X 2 X+2 2 0 X+2 2 X+2 2 X+2 0 X+2 X X X+2 X+2 X+2 2 0 0 2 2 X 0 0 X X 0 X 0 X+2 0 0 X+2 X 2 X 0 X 2 X 0 0 X 2 0 2 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 2 2 2 2 2 0 2 2 0 2 0 2 2 0 0 0 2 2 0 0 0 2 0 0 2 2 2 0 0 0 2 2 2 2 0 2 2 2 0 2 2 0 0 2 0 2 2 0 0 2 2 2 0 0 0 2 2 0 0 0 2 0 0 0 2 2 2 0 2 0 0 0 0 0 0 2 0 2 0 0 2 2 0 2 2 0 0 0 2 2 2 0 0 2 2 2 0 0 0 0 0 2 2 0 2 2 0 0 0 0 0 2 2 2 0 0 0 2 0 2 2 2 0 2 0 2 0 0 2 0 2 0 2 2 2 0 2 2 0 2 2 2 0 0 2 0 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 0 0 0 0 0 2 0 2 0 2 2 2 2 2 2 0 0 0 2 0 2 0 2 0 0 2 0 0 2 0 0 2 0 2 2 0 2 2 2 0 0 2 0 0 2 0 0 2 2 2 0 2 0 0 2 2 0 2 2 0 2 2 0 2 0 2 0 2 2 0 0 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+117x^76+342x^78+451x^80+521x^82+797x^84+587x^86+491x^88+287x^90+220x^92+141x^94+74x^96+32x^98+20x^100+6x^102+2x^104+4x^106+2x^108+1x^128 The gray image is a code over GF(2) with n=340, k=12 and d=152. This code was found by Heurico 1.16 in 2.17 seconds.