The generator matrix 1 0 0 0 0 0 1 1 1 1 1 0 X 0 1 X X 1 1 1 1 0 0 1 X X 0 0 1 1 1 1 1 0 1 0 1 1 X 1 1 0 0 0 1 X 1 1 1 X 1 X 1 1 1 1 1 1 1 1 0 1 0 0 0 0 0 1 1 1 1 1 1 1 X 1 X 0 0 X 0 X X X+1 X 0 X 0 X+1 1 X+1 X X+1 1 X 1 0 1 1 X+1 X+1 1 X 1 1 X X 1 0 1 1 X 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 1 0 X X+1 0 1 X+1 1 1 0 1 X+1 1 X 0 1 1 1 X 1 X+1 1 X+1 0 1 X+1 1 0 X X+1 1 X+1 X+1 X 1 X 0 1 0 1 X+1 X+1 X 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 1 X+1 1 X+1 X+1 X 0 X+1 X X+1 X X 1 1 X+1 0 X+1 0 0 X X+1 X X 1 X X 1 X+1 1 X X 1 X+1 X+1 X+1 1 X+1 X+1 X+1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 X X+1 0 0 1 X+1 X+1 X 0 0 1 X 1 X X+1 X X+1 0 X+1 X+1 X 0 0 X+1 X+1 0 X 1 0 0 X 1 X 1 1 1 X+1 0 X+1 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 X 1 0 X+1 X+1 X+1 X+1 1 X+1 X X+1 1 0 1 1 1 X 1 0 X+1 0 X+1 0 0 0 0 X 0 X 0 1 X+1 0 X X X X+1 X 0 1 0 0 1 X 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 0 0 X 0 X X X X X X X X 0 0 0 X X 0 X 0 X 0 0 0 X 0 0 X X 0 0 0 0 X 0 0 0 X 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 X X X 0 X X 0 X 0 0 X X 0 0 0 0 X X 0 0 X 0 0 X 0 X 0 X 0 X 0 0 0 X X 0 0 X 0 X 0 X X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X 0 X X X X X 0 X X 0 0 X 0 X 0 0 0 X X 0 X 0 X 0 0 0 X X X X X X X X 0 0 0 X 0 X 0 0 0 0 0 0 0 generates a code of length 60 over Z2[X]/(X^2) who´s minimum homogenous weight is 39. Homogenous weight enumerator: w(x)=1x^0+34x^39+43x^40+86x^41+110x^42+154x^43+207x^44+280x^45+325x^46+414x^47+557x^48+610x^49+841x^50+928x^51+1013x^52+1060x^53+1211x^54+1426x^55+1442x^56+1520x^57+1564x^58+1658x^59+1627x^60+1732x^61+1672x^62+1470x^63+1503x^64+1412x^65+1288x^66+1122x^67+1009x^68+884x^69+724x^70+644x^71+553x^72+426x^73+322x^74+260x^75+182x^76+140x^77+115x^78+76x^79+43x^80+42x^81+19x^82+6x^83+10x^84+1x^86+2x^88 The gray image is a linear code over GF(2) with n=120, k=15 and d=39. This code was found by Heurico 1.16 in 98.2 seconds.