The generator matrix 1 0 0 0 0 0 0 1 1 1 1 1 1 2 1 0 2 0 2 1 2 1 2 0 2 1 0 1 1 1 0 0 2 2 1 1 2 1 0 1 1 1 0 1 2 1 2 2 1 2 0 1 1 1 1 1 1 1 1 1 1 0 1 0 0 0 0 0 0 3 2 1 3 3 0 0 1 1 0 1 1 2 1 1 1 0 0 2 1 0 0 1 0 2 2 1 1 1 2 1 1 2 0 1 3 2 1 1 1 0 1 2 2 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 3 1 0 1 1 0 2 1 1 2 1 1 1 3 3 1 3 0 3 2 0 0 1 1 2 2 0 0 2 2 3 1 1 0 3 2 0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 3 1 2 2 0 1 3 1 0 3 0 0 3 0 2 1 2 3 2 3 1 2 1 1 3 3 2 0 1 0 3 2 1 2 1 1 1 1 0 2 3 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 2 3 3 3 1 2 3 2 3 0 3 3 2 2 2 2 3 2 1 0 2 3 0 2 3 2 2 3 1 0 1 3 1 3 2 2 2 3 3 0 0 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 3 1 2 2 3 3 0 2 1 1 3 0 2 1 2 3 3 0 2 1 1 2 1 2 3 2 1 1 0 0 0 1 1 0 3 1 1 0 3 1 3 1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 1 0 2 3 1 0 3 2 0 3 0 2 0 2 2 0 3 1 3 0 3 3 3 0 1 1 1 3 3 1 2 2 3 1 3 3 2 3 3 1 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 2 0 0 2 2 0 2 2 2 0 0 0 2 2 2 2 0 0 0 0 2 2 2 2 0 0 2 0 2 2 2 0 0 0 2 2 0 0 2 2 0 0 0 0 0 0 0 0 0 0 generates a code of length 61 over Z4 who´s minimum homogenous weight is 39. Homogenous weight enumerator: w(x)=1x^0+10x^39+37x^40+88x^41+123x^42+160x^43+199x^44+278x^45+342x^46+404x^47+534x^48+584x^49+686x^50+826x^51+887x^52+1008x^53+1109x^54+1168x^55+1296x^56+1438x^57+1418x^58+1498x^59+1504x^60+1448x^61+1602x^62+1526x^63+1464x^64+1378x^65+1283x^66+1204x^67+1087x^68+1088x^69+907x^70+754x^71+741x^72+564x^73+478x^74+456x^75+319x^76+244x^77+190x^78+160x^79+99x^80+68x^81+51x^82+24x^83+20x^84+6x^85+2x^86+2x^87+4x^88+1x^90 The gray image is a code over GF(2) with n=122, k=15 and d=39. This code was found by Heurico 1.16 in 99.5 seconds.