The generator matrix 1 0 0 0 0 1 1 1 1 1 1 1 2 2 2 0 2 0 2 0 0 2 0 1 1 1 1 0 1 2 2 2 1 1 1 0 1 1 1 2 1 0 2 1 2 1 0 1 1 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 0 0 1 0 0 1 1 0 1 1 1 1 1 0 0 0 1 1 1 0 2 2 3 1 2 3 2 0 1 2 2 2 1 2 0 3 1 3 1 1 0 0 3 0 3 2 2 0 1 2 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 1 0 1 0 1 0 3 1 2 2 1 2 2 2 1 0 1 0 2 1 2 1 0 0 2 3 1 0 1 3 2 3 2 1 1 1 2 1 1 0 0 1 2 3 0 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 0 0 1 1 0 0 3 1 2 2 2 2 2 3 3 0 2 2 0 1 2 1 3 3 2 2 2 2 1 1 2 1 0 2 3 1 0 1 1 1 3 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 2 1 1 1 2 3 1 1 0 2 1 1 3 2 0 2 0 2 1 0 2 1 2 3 3 1 1 2 2 0 2 2 1 1 3 3 2 1 1 0 1 3 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 0 0 2 0 2 2 0 0 2 2 2 0 2 2 0 2 0 0 0 2 2 0 2 2 2 0 2 2 2 0 0 2 2 2 2 0 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 0 0 0 2 2 2 0 0 2 2 2 0 2 0 0 2 2 0 2 2 2 2 0 0 2 2 2 2 0 0 0 2 2 0 2 2 0 0 2 0 0 0 2 0 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 0 2 0 0 2 2 0 2 2 2 2 2 2 0 0 0 0 2 2 0 2 2 0 0 0 0 2 0 2 0 0 2 0 2 2 0 0 2 2 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 2 2 2 2 2 2 0 0 0 0 2 0 2 0 0 0 0 0 2 2 2 0 0 2 2 0 2 2 0 2 0 2 0 0 0 2 2 2 2 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 0 2 2 2 2 0 0 0 2 0 0 2 0 0 2 0 2 2 2 2 0 0 0 0 2 0 2 0 0 0 0 2 0 0 2 2 2 0 2 2 0 2 2 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 41. Homogenous weight enumerator: w(x)=1x^0+20x^41+23x^42+42x^43+86x^44+96x^45+192x^46+194x^47+260x^48+318x^49+395x^50+468x^51+535x^52+578x^53+571x^54+676x^55+662x^56+726x^57+660x^58+694x^59+673x^60+682x^61+790x^62+806x^63+921x^64+1032x^65+1097x^66+1190x^67+1274x^68+1286x^69+1343x^70+1226x^71+1143x^72+1022x^73+941x^74+860x^75+818x^76+736x^77+648x^78+678x^79+607x^80+632x^81+676x^82+660x^83+612x^84+646x^85+484x^86+446x^87+420x^88+304x^89+274x^90+208x^91+141x^92+102x^93+80x^94+38x^95+33x^96+10x^97+14x^98+6x^99+5x^100+2x^101+4x^102+1x^104 The gray image is a code over GF(2) with n=138, k=15 and d=41. This code was found by Heurico 1.16 in 99.9 seconds.