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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 X 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 X 1 1 0 2X+2 0 2X+2 0 2X+2 0 2X+2 0 2X+2 2X 2 0 2X+2 2 0 0 2X+2 2X 2 2X 2X+2 2X 2 0 2X+2 2X 2 0 2X+2 0 2X+2 2X 2 2X 2 0 2X+2 0 2X+2 2 2X 0 2 2X 2X+2 0 2 0 2X 2 2 0 2X+2 0 2X+2 2 2 2X 0 2X 0 2X 2X+2 2X+2 2X 2X+2 2 2X+2 2 2 2 2X+2 2 2X+2 2X+2 0 2X 2X+2 2X 2X 2X+2 2X 2X 0 0 2X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2X 0 2X 2X 0 0 0 2X 2X 2X 2X 0 2X 2X 0 2X 2X 0 0 2X 2X 2X 2X 0 0 2X 2X 0 0 2X 2X 2X 2X 2X 2X 0 2X 2X 0 2X 2X 0 2X 2X 0 2X 0 2X 0 2X 0 2X 0 2X 0 0 0 0 2X 0 2X 0 2X 2X 0 2X 2X 0 0 0 2X 0 0 0 2X 0 0 0 0 2X 2X 2X 2X 2X 2X 2X 0 2X 0 2X 2X 2X 2X 0 0 0 2X 0 2X 2X 0 2X 0 2X 2X 2X 0 0 2X 0 2X 2X 0 2X 0 0 0 0 2X 0 2X 0 2X 0 2X 0 2X 0 0 2X 2X 0 0 0 2X 0 2X 2X 0 0 0 2X 0 2X 0 2X 0 2X 2X 0 2X 0 0 0 0 2X 0 0 0 0 0 0 0 0 0 0 0 0 2X 0 2X 0 2X 2X 2X 2X 0 2X 0 2X 0 2X 2X 2X 0 2X 2X 0 2X 2X 0 2X 2X 2X 0 2X 2X 0 2X 0 0 2X 2X 2X 2X 0 2X 0 0 0 0 2X 2X 2X 2X 2X 0 2X 0 0 2X 2X 0 0 2X 2X 2X 2X 2X 0 0 0 0 0 0 0 0 0 0 0 2X 0 2X 2X 0 2X 2X 2X 2X 0 2X 0 2X 0 0 2X 2X 2X 0 0 0 2X 2X 2X 0 0 0 2X 2X 0 2X 0 0 2X 0 0 0 2X 2X 2X 0 2X 2X 0 2X 2X 0 2X 2X 2X 2X 0 2X 0 0 0 0 0 2X 0 2X 0 2X 2X 0 2X 2X 2X 2X 0 2X 0 2X 2X 2X 2X 0 0 0 0 0 0 0 0 0 2X 0 2X 2X 0 2X 0 2X 2X 2X 2X 0 0 0 0 0 0 0 0 0 0 0 0 2X 0 2X 0 2X 0 2X 2X 2X 2X 0 2X 2X 2X 2X 2X 0 2X 2X 2X 2X 0 0 2X 2X 0 0 2X 0 0 0 2X 2X 2X 2X 2X 2X 0 2X 0 2X 0 0 2X 0 0 0 0 2X 2X 0 2X 0 0 2X generates a code of length 84 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+34x^78+142x^80+166x^82+256x^83+904x^84+256x^85+154x^86+64x^88+18x^90+40x^92+12x^94+1x^160 The gray image is a code over GF(2) with n=672, k=11 and d=312. This code was found by Heurico 1.16 in 0.812 seconds.