The generator matrix 1 0 0 0 0 0 1 1 1 1 1 1 1 0 1 1 0 1 1 0 2 2 2 1 1 1 2 1 1 1 2 2 0 0 0 2 2 2 1 1 2 2 1 1 2 1 1 2 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 0 0 0 1 0 0 3 0 1 2 2 0 3 1 2 0 1 1 1 0 3 0 1 1 1 1 0 0 0 2 1 2 2 0 1 2 1 0 0 1 1 1 3 1 1 2 1 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 0 2 2 2 3 1 1 3 2 0 0 0 1 1 3 2 1 0 1 1 2 0 2 1 2 1 2 0 2 0 2 1 2 3 0 1 2 1 2 2 3 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 1 2 1 1 0 3 0 1 0 2 2 0 1 3 2 2 0 3 3 2 0 2 0 1 1 2 0 3 2 3 0 3 1 2 2 2 1 1 2 2 3 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 1 1 1 2 2 0 1 3 2 2 1 3 3 3 3 1 2 0 0 1 1 1 0 0 1 2 1 2 3 0 1 1 1 1 1 0 2 1 0 2 2 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 2 0 1 3 0 2 3 0 2 2 1 2 0 1 3 1 2 3 3 2 2 1 0 1 3 1 0 1 1 2 3 2 0 1 1 1 1 1 0 2 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 0 2 0 2 2 0 2 0 0 0 2 2 2 2 0 0 0 0 0 2 2 0 0 2 0 0 0 2 2 2 2 2 2 2 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 0 0 2 0 2 2 2 0 0 0 0 0 2 2 2 2 2 2 2 0 0 2 2 0 0 2 0 2 2 2 2 0 2 0 0 2 2 2 0 0 2 2 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 2 2 2 0 0 2 2 2 0 2 2 2 0 0 2 0 2 0 0 2 2 2 0 0 0 2 2 2 2 0 0 2 2 2 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 generates a code of length 69 over Z4 who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+24x^40+64x^41+109x^42+116x^43+139x^44+172x^45+263x^46+324x^47+380x^48+418x^49+491x^50+634x^51+588x^52+682x^53+658x^54+590x^55+639x^56+568x^57+532x^58+520x^59+573x^60+646x^61+565x^62+722x^63+797x^64+992x^65+1157x^66+1154x^67+1232x^68+1180x^69+1282x^70+1160x^71+1139x^72+982x^73+856x^74+760x^75+665x^76+592x^77+524x^78+552x^79+524x^80+574x^81+565x^82+582x^83+619x^84+618x^85+637x^86+650x^87+553x^88+478x^89+370x^90+316x^91+234x^92+182x^93+148x^94+98x^95+66x^96+36x^97+31x^98+14x^99+13x^100+8x^101+3x^102+5x^104+1x^106+1x^108 The gray image is a code over GF(2) with n=138, k=15 and d=40. This code was found by Heurico 1.16 in 98.6 seconds.