The generator matrix 1 0 1 1 1 X+2 1 1 2 1 X 1 1 2 1 2 1 1 X+2 1 1 1 1 X+2 1 1 1 0 2 1 1 1 1 X 1 X 1 1 2 1 1 1 X 2 1 1 1 1 1 X 1 X 1 X+2 1 1 1 1 1 0 1 1 1 1 X+2 0 X 1 1 1 0 1 X+2 1 1 1 1 1 1 0 X X X+2 2 0 1 1 0 1 1 X X+3 1 1 1 X+2 X+1 1 2 1 1 X+2 1 0 X+1 X+2 X+1 1 3 X 0 1 1 1 X 3 0 1 3 1 X+3 2 1 X+3 X X+1 1 1 X+2 X+2 X+3 0 3 1 X+3 1 X 1 X+1 X+3 X 2 X+3 1 1 X+2 2 2 1 1 1 X+3 X+2 0 1 X+1 1 X+2 X+1 X X+1 1 1 1 2 X 1 1 0 0 X 0 0 0 0 0 0 2 2 0 0 X X+2 X+2 X X X X X+2 X X X 0 X+2 2 0 X+2 X 0 0 X+2 2 X X+2 X+2 X+2 2 2 0 X+2 2 X X+2 2 0 2 X+2 X+2 X 0 2 X+2 X+2 X X 2 0 0 2 2 2 0 X+2 2 X+2 2 X 2 0 X 0 X+2 X+2 2 2 X 2 X X+2 2 X 0 0 0 0 X 0 0 X X X X+2 X 2 0 2 0 X X X 2 X 0 0 X+2 X+2 0 X X+2 X+2 2 X 2 X+2 0 2 0 X+2 2 X 2 0 X X X 2 0 X X+2 0 2 X+2 X X+2 0 0 2 2 0 X X 0 X 2 X+2 X 2 2 0 2 0 0 X X+2 X 0 0 0 X 2 0 X+2 2 X+2 X X+2 0 0 0 0 X 0 0 2 2 0 2 2 2 2 2 0 0 0 2 2 2 2 0 2 2 X X X X+2 X X+2 X+2 X+2 X X+2 X+2 X+2 X+2 X+2 X X X+2 X+2 X+2 X+2 X+2 X X 0 X X+2 0 0 2 X 2 X X X X 2 X+2 0 0 X+2 2 2 0 X+2 X+2 X X 0 2 X 2 X X 2 0 X+2 X+2 X+2 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 0 0 0 2 0 0 2 2 2 2 0 0 2 2 2 2 2 0 0 0 2 2 0 2 2 2 0 0 0 0 2 2 2 0 2 0 2 2 2 2 2 0 2 0 2 2 2 0 2 2 2 2 0 0 0 2 2 2 0 0 0 2 2 0 2 2 0 0 2 0 generates a code of length 84 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 75. Homogenous weight enumerator: w(x)=1x^0+82x^75+165x^76+294x^77+395x^78+462x^79+580x^80+612x^81+617x^82+678x^83+684x^84+604x^85+637x^86+574x^87+492x^88+436x^89+319x^90+206x^91+94x^92+66x^93+38x^94+34x^95+41x^96+24x^97+8x^98+10x^99+20x^100+12x^101+2x^103+2x^104+1x^108+2x^110 The gray image is a code over GF(2) with n=336, k=13 and d=150. This code was found by Heurico 1.16 in 6.06 seconds.