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 X 1 1 1 1 1 1 1 1 1 1 0 1 1 X 1 1 1 0 0 1 1 0 1 2 1 0 2 X 1 0 1 X X 0 1 1 X 1 1 2 X X 1 X 0 X 0 X 0 0 X X+2 0 2 X+2 X 0 X X 2 2 0 X X+2 0 0 X+2 X+2 2 X+2 X 2 2 X X 0 X+2 0 2 X 2 0 X X 2 2 0 X X+2 X+2 X+2 0 X+2 0 2 X 2 X 0 0 X 2 2 0 X+2 X 0 2 X 0 X X X+2 0 X 0 2 X+2 0 X 0 X+2 X+2 X X X+2 X X+2 2 0 0 X X 0 X+2 X 0 2 X 0 X 0 X+2 2 X+2 X 0 X 2 X+2 0 2 X 2 X 2 0 X X+2 2 X+2 0 X X 0 X 0 X X+2 X X X+2 X X+2 X+2 2 0 X 0 0 0 2 X+2 X+2 0 X 2 X X 2 X+2 X X X+2 X 0 2 2 0 X 2 X 0 X 0 X 2 X+2 2 0 X X+2 2 X 0 0 0 2 0 0 0 0 2 2 2 0 2 2 2 2 2 0 2 2 2 2 2 2 2 2 0 0 2 2 0 0 2 2 2 2 0 0 2 2 0 2 2 2 0 0 0 0 0 2 2 2 0 0 2 0 0 2 2 2 0 0 2 2 0 0 0 2 0 0 2 0 0 2 0 0 0 2 0 2 2 2 2 2 0 0 0 0 0 2 0 0 0 0 0 0 2 2 2 0 0 0 0 2 2 2 2 2 0 2 0 2 0 2 2 0 0 0 2 2 2 2 0 0 2 2 0 0 0 0 0 2 0 2 0 2 2 2 2 0 2 0 2 0 0 0 0 2 2 2 0 2 0 0 2 2 2 2 2 0 2 2 0 0 2 2 2 2 0 0 0 0 0 0 0 2 0 0 0 2 0 2 2 0 2 0 2 0 0 2 2 0 0 0 0 2 2 2 2 0 0 2 0 2 0 2 2 2 2 2 0 0 0 0 2 2 2 2 0 2 2 2 2 2 0 0 2 2 2 0 2 0 2 0 2 0 2 2 0 0 2 0 0 2 2 2 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 2 2 2 2 2 0 2 2 0 2 2 0 2 0 0 2 0 2 2 2 2 2 2 0 0 0 2 2 2 0 0 2 0 2 0 2 2 2 0 2 2 0 0 2 2 0 2 0 0 0 0 0 0 0 2 0 0 2 0 0 0 2 0 0 0 0 0 0 0 2 2 0 2 2 0 2 2 0 0 0 0 0 0 0 2 0 0 0 2 0 2 2 0 0 2 0 2 0 0 2 0 2 2 0 0 2 2 0 2 2 0 0 0 2 0 2 2 2 2 2 2 0 2 0 2 0 0 2 2 0 0 2 2 0 0 0 0 2 0 2 0 0 2 2 2 0 0 0 2 0 2 2 2 0 0 2 0 2 0 0 2 0 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+171x^76+264x^78+441x^80+584x^82+693x^84+612x^86+549x^88+316x^90+212x^92+116x^94+81x^96+28x^98+17x^100+7x^104+3x^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 2.44 seconds.