The generator matrix 1 0 0 1 1 1 X+2 1 1 X 1 2 1 2 1 1 X X 1 1 2 1 X+2 0 1 1 1 1 1 X X 2 X+2 1 0 1 X+2 1 1 0 2 0 1 1 2 1 X X 1 1 0 1 1 1 1 2 X 2 0 1 X+2 X 1 0 2 1 1 0 1 1 1 2 0 1 1 1 1 0 2 1 0 1 0 0 1 X+3 1 X+2 X+3 1 3 1 X X X 0 X 1 3 3 1 X+2 0 1 1 X+1 X+3 X 2 1 1 2 X+2 X 1 X+1 1 1 0 1 1 1 1 X 1 2 1 2 X+3 X+3 1 2 2 1 X+1 1 0 1 0 X+1 X+2 1 X+3 1 1 1 X+2 1 0 2 0 1 1 X+2 3 1 0 X X+2 0 0 0 1 1 X+1 0 X+3 1 X+3 X+2 X 3 X 1 X+1 X+2 1 1 3 2 0 2 1 X+3 X 0 3 X+1 X 0 X+2 1 1 X+1 1 3 X+3 X X 2 2 0 X+3 X+1 1 0 3 1 X+3 1 X 0 1 X+3 X 3 1 0 1 0 1 X+3 2 1 X+3 X+1 3 X+1 X+1 X X+2 2 X+2 X X+2 X+3 1 1 1 0 0 0 0 X X X+2 0 X+2 X+2 0 X+2 2 2 0 X 2 2 2 X X+2 X X+2 2 X 0 0 0 0 X+2 X+2 X+2 X X+2 X+2 X X X 0 2 0 2 X 2 X X 2 X 2 2 X+2 2 X+2 0 0 0 0 X 0 0 0 X 0 X X+2 2 2 2 2 X X+2 X 0 X+2 X+2 X+2 0 0 X+2 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 2 2 2 0 2 0 2 2 0 2 2 2 0 0 0 2 0 0 2 2 0 0 0 2 2 2 2 2 0 2 0 0 2 2 2 0 0 2 2 0 0 0 0 2 0 2 2 2 2 0 0 2 0 2 0 0 2 0 0 0 2 0 0 2 2 0 0 0 0 0 0 2 0 2 2 2 0 2 2 2 2 0 2 0 0 0 2 2 2 2 0 2 0 2 2 2 2 2 2 2 0 2 2 2 2 0 0 0 0 0 0 2 0 0 2 0 0 2 0 2 2 2 2 2 0 0 0 2 0 2 0 2 0 2 2 2 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 2 2 2 2 2 0 2 2 2 0 2 0 2 0 2 2 0 0 0 0 0 0 2 0 0 0 0 0 2 0 2 2 2 0 2 2 2 2 0 0 0 2 2 2 0 0 2 2 0 2 0 2 2 2 0 0 0 0 0 0 0 0 2 0 2 2 0 2 0 2 2 2 0 0 generates a code of length 80 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 70. Homogenous weight enumerator: w(x)=1x^0+53x^70+212x^71+371x^72+450x^73+868x^74+858x^75+1193x^76+980x^77+1372x^78+1150x^79+1495x^80+1202x^81+1551x^82+864x^83+1175x^84+726x^85+632x^86+438x^87+314x^88+184x^89+107x^90+52x^91+52x^92+38x^93+17x^94+8x^95+7x^96+4x^97+6x^98+2x^99+2x^102 The gray image is a code over GF(2) with n=320, k=14 and d=140. This code was found by Heurico 1.16 in 16.3 seconds.