The generator matrix 1 0 0 0 0 0 1 1 1 1 1 1 1 0 1 1 0 0 1 0 1 1 1 1 1 2 2 0 0 2 2 0 1 2 1 2 2 0 0 1 1 2 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 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 0 1 0 0 1 0 3 2 2 2 1 1 0 1 0 1 0 3 3 0 1 1 1 1 2 2 2 0 1 2 1 0 0 0 0 0 1 1 1 1 2 2 1 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 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 0 0 3 1 0 2 0 1 0 1 2 1 3 2 0 1 3 0 0 1 2 2 3 2 3 0 1 0 0 3 1 1 1 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 0 2 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 0 0 1 0 0 1 0 1 0 1 1 0 3 1 3 3 1 1 0 1 2 3 0 0 0 3 1 1 1 0 1 2 2 0 0 1 1 0 2 0 0 0 2 0 0 0 1 2 0 0 2 0 0 2 0 2 0 0 2 2 0 0 2 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 1 0 1 1 0 0 1 0 1 1 2 0 3 0 2 3 0 2 3 3 2 0 2 3 2 3 1 3 2 1 1 2 1 3 2 2 1 1 0 1 1 0 1 1 3 1 0 0 0 0 0 0 2 0 0 0 2 0 2 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 0 1 1 1 0 0 0 1 2 2 3 2 0 3 3 2 3 3 0 0 1 0 3 1 1 2 2 1 2 0 3 3 3 3 1 3 0 1 1 2 0 1 0 1 0 1 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 2 0 0 0 2 2 2 0 0 2 0 2 2 2 0 0 2 0 0 2 0 2 2 0 2 0 2 0 2 2 2 0 2 2 0 0 0 0 2 0 0 0 2 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 0 2 2 0 2 0 2 0 2 0 2 2 0 0 0 0 2 0 0 2 0 0 2 2 0 2 0 2 0 0 2 2 0 2 2 0 2 0 0 0 0 0 2 0 0 0 2 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 0 0 0 0 0 0 0 0 0 2 2 0 2 2 0 2 0 2 2 2 0 0 0 2 2 2 0 2 0 0 2 0 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 0 0 0 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 0 generates a code of length 87 over Z4 who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+7x^40+16x^41+18x^42+12x^43+15x^44+52x^45+52x^46+64x^47+109x^48+94x^49+171x^50+210x^51+248x^52+276x^53+308x^54+390x^55+403x^56+406x^57+513x^58+474x^59+457x^60+528x^61+422x^62+448x^63+422x^64+402x^65+337x^66+304x^67+218x^68+194x^69+172x^70+114x^71+142x^72+90x^73+97x^74+126x^75+144x^76+208x^77+268x^78+392x^79+454x^80+654x^81+768x^82+874x^83+1090x^84+1152x^85+1322x^86+1330x^87+1340x^88+1226x^89+1124x^90+954x^91+820x^92+618x^93+466x^94+384x^95+250x^96+220x^97+120x^98+94x^99+78x^100+92x^101+144x^102+134x^103+166x^104+188x^105+208x^106+304x^107+358x^108+358x^109+403x^110+458x^111+460x^112+508x^113+515x^114+484x^115+473x^116+488x^117+389x^118+362x^119+306x^120+274x^121+248x^122+178x^123+155x^124+100x^125+83x^126+82x^127+52x^128+34x^129+31x^130+18x^131+15x^132+14x^133+9x^134+2x^135+8x^136+2x^138+1x^140+2x^142 The gray image is a code over GF(2) with n=174, k=15 and d=40. This code was found by Heurico 1.16 in 98.9 seconds.