The generator matrix 1 0 0 0 0 0 0 1 1 1 1 1 1 1 0 0 X 0 0 X 1 X 1 1 1 X 0 X 1 X 1 1 X 1 0 0 1 1 1 X 0 1 1 X 1 X 0 1 X 0 1 1 1 1 1 1 1 1 1 1 1 0 1 0 0 0 0 0 0 X+1 X 1 1 X 1 1 1 X 1 0 1 X+1 X 0 1 X+1 X 1 1 1 0 1 0 1 X+1 1 X 0 0 1 0 1 0 X 1 X X 1 X+1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 X+1 1 X X 1 X 1 1 0 1 X+1 X+1 0 1 X 1 0 0 0 0 1 1 1 1 0 X+1 0 X X 0 1 0 1 X X X+1 1 X+1 1 X+1 1 0 X 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 X X+1 X 1 X 1 0 X+1 X+1 1 1 0 1 1 X 1 X+1 X X 0 X+1 0 1 0 X 0 X+1 X X+1 X+1 1 X+1 X+1 X+1 X X 0 X+1 X X X+1 X+1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 X X+1 X+1 0 1 1 X 1 0 1 X 1 1 0 1 X+1 1 X 1 1 1 X 0 X X 1 1 X X X 0 0 0 1 X+1 1 X+1 X X+1 X X+1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 X+1 1 X 1 X X 0 X+1 1 X+1 X 0 0 X+1 0 X+1 X 1 0 X 1 0 X 1 X+1 0 X+1 X+1 X+1 X+1 X X 0 0 1 X+1 X 0 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 X+1 1 X X 0 1 1 0 1 X+1 0 0 X+1 0 0 X+1 X X+1 0 X+1 0 0 X 1 X+1 0 X X 0 X+1 X 1 1 1 0 X+1 X X+1 X+1 1 X+1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X 0 0 X X 0 X 0 0 X X X X X X 0 X X 0 0 0 0 0 X 0 0 0 X 0 X X 0 X X X X X X 0 0 X X X X 0 0 0 0 0 0 0 0 0 generates a code of length 61 over Z2[X]/(X^2) who´s minimum homogenous weight is 39. Homogenous weight enumerator: w(x)=1x^0+44x^39+66x^40+100x^41+168x^42+220x^43+260x^44+314x^45+406x^46+474x^47+574x^48+658x^49+744x^50+910x^51+951x^52+922x^53+1083x^54+1102x^55+1150x^56+1356x^57+1329x^58+1368x^59+1419x^60+1420x^61+1422x^62+1472x^63+1447x^64+1278x^65+1192x^66+1088x^67+1019x^68+974x^69+921x^70+866x^71+741x^72+580x^73+631x^74+560x^75+400x^76+366x^77+236x^78+182x^79+122x^80+76x^81+56x^82+30x^83+38x^84+20x^85+4x^86+4x^87+3x^88+1x^92 The gray image is a linear code over GF(2) with n=122, k=15 and d=39. This code was found by Heurico 1.16 in 98.1 seconds.