The generator matrix 1 0 1 1 1 X+2 1 1 0 1 1 X+2 1 X+2 1 1 0 1 1 0 1 1 1 X+2 1 0 1 1 1 X+2 1 X+2 1 1 0 0 X+2 1 1 1 X+2 1 1 1 0 1 1 1 1 X+2 1 1 X 1 1 1 1 1 1 1 1 1 0 1 X+1 X+2 1 1 0 X+1 1 X+2 3 1 X+2 1 X+1 0 1 3 0 1 X+1 X+2 3 1 0 1 X+1 3 X+2 1 3 1 X+2 3 1 1 1 X+1 0 X+1 1 3 2 X+2 1 X+1 X+1 0 3 1 X+3 0 1 X+1 X+2 0 2 X 3 X+1 X+1 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 0 2 0 2 2 0 2 2 0 2 2 2 0 0 2 2 2 0 0 2 0 0 2 2 2 2 2 2 0 0 0 0 0 0 2 2 0 2 2 2 0 2 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 0 2 2 2 0 2 2 0 2 2 0 0 0 2 2 2 2 0 2 0 0 0 0 2 2 2 0 0 2 0 2 0 0 2 0 2 0 2 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 0 0 2 2 2 0 0 2 2 0 0 2 0 2 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 2 0 2 2 0 2 2 2 0 2 2 0 2 0 0 0 2 0 2 2 0 2 2 2 0 2 0 0 0 0 0 2 0 0 0 2 0 2 2 0 2 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 0 2 2 0 0 2 2 0 0 2 2 2 0 2 0 0 0 2 0 0 0 0 2 2 2 0 0 2 2 2 2 0 2 2 2 2 2 2 0 2 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 2 0 0 0 2 2 2 2 0 2 0 0 2 2 2 2 0 0 0 0 0 0 2 0 2 0 2 2 2 2 0 2 0 0 0 2 0 2 0 0 0 2 0 0 2 2 2 0 0 0 0 0 0 0 0 0 2 0 2 2 0 2 2 0 0 2 0 0 2 0 0 2 2 2 0 0 2 2 0 2 0 2 0 2 2 0 0 2 0 2 2 0 2 0 2 0 2 0 2 2 0 2 0 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 0 2 2 0 0 2 0 2 2 0 0 0 2 2 2 0 2 2 2 2 0 0 0 0 0 0 0 0 2 2 2 2 0 0 0 2 2 0 0 0 2 0 2 0 2 0 0 2 0 generates a code of length 62 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 50. Homogenous weight enumerator: w(x)=1x^0+42x^50+22x^51+101x^52+78x^53+211x^54+262x^55+550x^56+558x^57+1149x^58+892x^59+1926x^60+1260x^61+2349x^62+1260x^63+1913x^64+892x^65+1133x^66+558x^67+523x^68+262x^69+175x^70+78x^71+71x^72+22x^73+39x^74+24x^76+15x^78+8x^80+5x^82+2x^84+2x^86+1x^88 The gray image is a code over GF(2) with n=248, k=14 and d=100. This code was found by Heurico 1.16 in 14.8 seconds.