The generator matrix 1 0 0 0 0 0 0 1 1 1 1 1 1 2 2 1 2 2 0 0 0 2 1 1 0 1 1 2 0 0 1 0 1 0 1 1 0 1 1 1 1 0 1 1 1 0 1 0 1 2 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 0 0 0 0 0 3 2 1 3 2 1 2 3 0 1 1 1 1 1 0 3 0 1 1 1 2 0 0 0 2 0 0 3 0 2 1 0 1 2 0 2 2 1 1 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 3 1 0 2 2 1 1 1 1 2 0 2 1 0 1 0 2 3 2 1 1 1 2 0 1 0 3 1 2 0 1 0 2 1 2 3 1 3 0 1 1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 3 2 0 0 1 3 3 1 2 3 0 2 0 1 0 1 3 2 2 2 1 3 2 3 1 1 1 2 0 2 2 1 3 2 3 2 1 0 2 1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 2 3 3 0 3 1 3 3 2 0 2 0 0 0 2 2 1 3 3 3 0 0 0 3 1 0 2 2 3 0 3 3 1 3 0 2 1 1 1 3 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 3 1 2 1 0 3 0 1 0 3 0 1 1 1 3 2 0 3 3 0 0 2 2 0 2 2 1 3 1 1 2 3 1 1 2 3 0 3 3 1 0 2 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 1 0 2 0 3 3 1 0 0 3 2 3 0 1 2 0 1 3 0 2 1 2 3 1 3 3 2 1 2 1 3 2 3 3 3 3 1 3 2 0 2 2 1 2 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 0 2 2 0 0 0 2 2 0 2 2 0 2 2 0 0 0 2 0 2 2 2 2 0 2 2 0 0 2 2 2 2 0 2 2 0 0 0 0 0 0 0 0 0 0 generates a code of length 62 over Z4 who´s minimum homogenous weight is 39. Homogenous weight enumerator: w(x)=1x^0+24x^39+50x^40+68x^41+138x^42+150x^43+204x^44+254x^45+275x^46+416x^47+489x^48+600x^49+673x^50+700x^51+824x^52+918x^53+915x^54+1122x^55+1149x^56+1180x^57+1306x^58+1312x^59+1472x^60+1488x^61+1437x^62+1380x^63+1444x^64+1410x^65+1298x^66+1088x^67+1063x^68+1072x^69+1029x^70+914x^71+769x^72+812x^73+689x^74+622x^75+490x^76+378x^77+307x^78+244x^79+189x^80+122x^81+109x^82+80x^83+33x^84+18x^85+12x^86+12x^87+12x^88+3x^90+2x^92+1x^94+1x^96 The gray image is a code over GF(2) with n=124, k=15 and d=39. This code was found by Heurico 1.16 in 99.9 seconds.