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 0 0 0 2 2 X 2 2 X 0 X X X 1 2 0 X X 0 1 2 2 1 1 1 1 X 1 0 X 0 0 0 0 0 0 0 0 2 X X X+2 0 X+2 X+2 0 2 X X+2 2 X X X 2 X 0 X 2 X+2 X X+2 X+2 X+2 X+2 X 2 0 X+2 X+2 2 X X+2 X 0 2 X 0 X 2 X+2 X X 0 X 2 0 X X+2 X X X 2 0 X+2 0 X X+2 X+2 X+2 X 2 2 0 0 X 0 0 0 0 0 0 0 X+2 2 X X X X 0 X X 0 X+2 2 0 X+2 X X X+2 X+2 2 0 X+2 0 2 X+2 X 0 2 2 X 0 2 X X+2 X+2 X X 0 2 X 2 2 X+2 0 2 2 X+2 2 X+2 0 X 0 X+2 X+2 X+2 X 0 2 0 0 2 0 X X 0 0 0 0 X 0 0 0 X X+2 X X X+2 0 X 2 0 X+2 X+2 2 X+2 X+2 X 0 2 0 2 X X X 2 X 0 X+2 0 X X+2 0 2 X X 2 X+2 0 2 X 0 0 X 2 X 2 X+2 2 2 0 X+2 0 2 2 X 0 2 X 0 X+2 0 X X+2 2 0 X+2 2 X+2 X 0 0 0 0 X 0 X X X 2 X X X 2 2 X+2 X+2 2 X+2 2 X+2 X X+2 2 2 X 0 X+2 2 X+2 X+2 X X+2 X 0 X+2 X+2 0 0 2 X 2 0 X+2 2 2 X 2 0 X+2 X X+2 X X 2 0 X X+2 X X+2 X+2 X+2 0 X+2 X 2 X 0 2 X+2 X 0 X+2 X+2 0 0 0 0 0 X X 2 X+2 X+2 X X X+2 0 X 2 2 2 X X+2 0 2 2 0 X 0 X 2 2 X+2 X+2 X+2 X+2 0 2 2 2 2 0 0 X+2 X+2 X+2 X+2 X X 2 X 2 X X X 0 2 X 2 X+2 0 X+2 2 X 2 X+2 0 0 2 2 X X 0 X+2 0 0 X+2 0 0 0 0 0 0 2 2 2 2 2 2 2 0 2 0 0 0 2 2 0 0 0 0 2 2 0 2 2 0 0 0 0 2 2 2 2 2 2 0 2 0 0 0 2 0 2 2 2 0 0 2 2 0 2 0 2 2 0 2 2 0 0 0 0 2 0 0 2 0 0 2 0 2 generates a code of length 74 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 62. Homogenous weight enumerator: w(x)=1x^0+64x^62+134x^63+202x^64+270x^65+377x^66+482x^67+553x^68+702x^69+907x^70+1166x^71+1289x^72+1332x^73+1462x^74+1490x^75+1276x^76+1118x^77+883x^78+672x^79+568x^80+384x^81+304x^82+204x^83+172x^84+140x^85+86x^86+68x^87+32x^88+22x^89+12x^90+8x^91+3x^92+1x^106 The gray image is a code over GF(2) with n=296, k=14 and d=124. This code was found by Heurico 1.16 in 25.3 seconds.