The generator matrix 1 0 0 0 1 1 1 X X+2 1 1 1 X+2 0 1 0 1 0 1 1 X+2 1 1 X+2 1 0 X+2 2 X 1 1 0 1 1 1 1 X+2 2 1 2 X+2 1 X+2 X+2 1 X+2 0 1 1 X 2 1 X X 1 1 2 2 X 1 1 0 X 0 1 X+2 X+2 1 1 X X 1 1 1 2 1 2 1 0 1 1 X 0 2 1 0 1 0 0 X 0 X+2 X+2 1 3 3 3 1 1 X+1 X+2 X+1 1 X 3 1 X+1 X+3 X X 1 2 0 1 X+2 X+2 1 2 X+3 1 X+2 1 X 0 1 1 2 1 0 X+1 1 2 0 0 1 1 3 2 1 1 X+3 1 1 X+2 X X+2 1 X 1 2 X X+2 X+1 X 1 1 0 X+2 3 1 X+3 0 X 1 X X+1 2 0 1 0 0 0 1 0 X 1 X+3 1 3 X+2 3 2 0 X+3 1 1 X 2 2 1 0 X+2 1 1 0 X+3 1 X 3 X+3 0 1 3 0 2 X X 1 X X+1 X+1 X+3 2 1 X+3 X 1 1 0 3 X 3 2 2 1 X 0 1 X 1 X+3 0 1 X X+1 0 1 X 2 1 2 3 X+2 0 X+3 0 1 1 2 X 3 1 1 X+1 1 0 0 0 1 X+1 1 X X+3 0 2 0 X+3 X+3 X+1 3 0 1 X 0 X+3 1 X X+2 3 1 0 X 1 1 2 X X 1 3 X+2 3 3 X+1 2 3 X+1 X 2 0 X+2 3 X 1 X+2 2 2 1 1 2 X+1 2 X+1 0 1 3 X+2 3 X+2 2 X+1 1 0 1 0 X+1 X 2 X+2 2 2 3 X+1 X+3 X+2 1 X+3 X 3 3 1 0 0 0 0 2 0 2 2 2 2 0 0 2 0 2 0 2 2 2 0 0 0 2 0 0 2 2 2 2 2 2 0 2 0 0 0 0 0 2 2 0 0 2 2 2 2 2 0 2 0 0 0 2 0 2 0 0 2 0 2 0 0 0 0 0 2 2 0 0 0 0 2 2 2 2 2 0 0 2 2 2 2 2 0 2 0 0 0 0 0 2 2 2 2 0 2 0 0 2 2 2 0 0 0 2 0 0 2 2 0 2 2 0 2 2 0 2 2 2 2 2 2 0 2 0 0 0 2 0 0 2 0 0 2 0 2 0 2 2 0 2 0 0 0 0 2 2 0 0 0 2 0 0 2 0 0 0 2 0 0 2 2 2 2 2 0 0 0 0 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+159x^76+396x^77+561x^78+810x^79+985x^80+1198x^81+1279x^82+1300x^83+1173x^84+1150x^85+1313x^86+1116x^87+1121x^88+968x^89+807x^90+642x^91+428x^92+410x^93+234x^94+154x^95+97x^96+32x^97+20x^98+8x^99+4x^100+4x^101+8x^102+2x^105+2x^106+2x^107 The gray image is a code over GF(2) with n=340, k=14 and d=152. This code was found by Heurico 1.16 in 17 seconds.