The generator matrix 1 0 0 0 0 1 1 1 1 1 1 1 2 2 2 2 0 2 2 2 2 2 0 1 1 0 1 0 1 1 2 1 2 1 1 2 2 1 1 1 2 1 0 1 0 0 1 2 1 1 2 0 1 0 1 1 1 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 1 1 2 0 1 0 2 2 1 1 0 2 0 2 1 2 1 0 2 1 2 0 2 3 2 0 0 0 1 0 1 1 2 3 2 2 3 1 0 2 0 0 0 0 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 0 3 1 2 1 1 1 1 1 3 0 1 2 2 3 1 3 2 2 2 0 1 2 3 1 1 2 2 0 1 1 1 2 3 3 1 2 1 0 3 2 3 0 0 0 0 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 1 2 1 3 3 3 3 2 1 1 0 1 1 3 1 1 0 1 2 0 0 0 3 1 0 2 2 0 0 2 1 0 1 2 2 0 2 2 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 1 1 1 0 0 1 1 2 1 1 1 0 3 3 3 0 3 0 3 3 3 2 1 0 0 2 3 0 3 2 3 0 1 0 3 2 1 2 0 0 1 2 0 3 2 2 2 0 2 3 2 1 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 0 2 0 2 2 0 0 2 2 2 2 0 2 0 0 0 2 2 2 0 2 0 2 0 0 2 2 2 2 2 2 0 2 0 2 2 0 0 2 2 2 2 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 0 0 2 0 0 0 0 2 2 2 0 0 2 2 0 0 2 2 0 0 2 2 2 2 0 2 2 0 0 0 2 2 2 2 2 2 2 2 0 0 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 0 0 0 0 0 0 0 0 2 0 0 2 0 2 0 2 0 0 2 2 0 2 2 0 0 2 2 0 2 2 0 0 0 0 0 0 0 0 2 2 2 2 0 2 2 0 0 0 2 2 2 2 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 0 0 0 0 0 2 0 2 0 0 2 2 2 0 0 2 2 0 2 0 0 0 2 0 2 0 2 2 0 0 2 0 2 2 0 0 2 2 2 0 2 2 0 2 2 0 2 2 2 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 0 0 0 0 2 0 2 2 0 2 2 0 2 0 2 0 2 2 0 2 0 0 2 2 2 2 2 2 0 2 2 2 0 2 0 0 0 0 2 2 0 2 0 0 2 0 0 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 generates a code of length 74 over Z4 who´s minimum homogenous weight is 41. Homogenous weight enumerator: w(x)=1x^0+16x^41+40x^42+54x^43+102x^44+114x^45+158x^46+206x^47+296x^48+374x^49+432x^50+424x^51+501x^52+536x^53+542x^54+622x^55+532x^56+560x^57+507x^58+506x^59+433x^60+382x^61+358x^62+340x^63+370x^64+352x^65+480x^66+582x^67+665x^68+830x^69+948x^70+1040x^71+1210x^72+1252x^73+1237x^74+1228x^75+1121x^76+1080x^77+1008x^78+810x^79+741x^80+590x^81+466x^82+410x^83+348x^84+312x^85+365x^86+330x^87+402x^88+498x^89+513x^90+582x^91+536x^92+572x^93+563x^94+578x^95+547x^96+480x^97+378x^98+364x^99+274x^100+198x^101+145x^102+100x^103+88x^104+38x^105+43x^106+10x^107+20x^108+8x^109+9x^110+6x^111+5x^112 The gray image is a code over GF(2) with n=148, k=15 and d=41. This code was found by Heurico 1.16 in 99.3 seconds.