The generator matrix 1 0 0 0 1 1 1 1 0 1 1 1 2 2 2 1 1 1 1 1 1 1 1 0 1 0 0 0 1 2 1 1 1 2 1 1 0 1 0 1 1 1 2 2 2 2 2 1 1 1 1 1 0 1 1 1 1 1 1 1 0 1 0 0 1 0 0 1 1 0 1 1 1 1 0 0 3 2 1 0 1 2 1 0 1 2 2 1 1 1 1 2 0 1 2 2 1 3 2 2 0 3 1 2 1 1 2 1 1 1 2 1 0 2 0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 1 1 0 0 1 1 0 0 0 2 1 1 3 3 1 2 1 2 0 1 3 1 1 0 2 0 0 1 0 0 3 2 2 1 1 0 0 1 3 2 3 1 2 1 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 0 1 1 0 1 2 0 1 3 3 2 0 3 1 2 0 1 0 0 2 1 3 3 3 2 1 0 1 1 2 0 2 1 1 1 3 0 2 2 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 2 0 2 0 0 0 2 0 2 0 2 2 2 0 0 2 0 2 2 0 0 2 2 0 2 0 0 2 2 2 2 2 2 0 0 0 0 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 2 2 0 0 2 2 2 2 0 2 0 0 2 2 2 0 0 2 0 0 0 0 0 2 2 2 2 2 0 0 0 0 2 2 2 2 2 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 2 2 2 0 2 0 0 2 2 2 0 0 0 0 0 2 0 2 2 2 2 0 0 2 0 2 2 0 2 2 0 2 0 0 2 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 2 0 2 2 2 0 0 2 0 2 0 2 2 2 0 2 0 2 0 0 0 2 0 0 0 2 2 0 0 2 2 0 2 2 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 0 2 2 0 0 0 2 0 0 2 2 0 2 0 2 0 2 2 2 2 0 0 0 2 0 2 2 0 2 2 0 2 2 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 2 0 0 2 0 0 0 2 0 0 2 2 0 0 2 2 0 2 2 0 2 2 2 2 0 2 0 2 2 0 0 0 2 0 0 0 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 0 0 2 0 2 2 2 2 0 2 0 2 0 0 2 2 2 2 0 0 0 2 2 0 2 2 2 2 0 0 0 2 2 0 0 2 2 2 0 0 0 0 0 0 generates a code of length 60 over Z4 who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+41x^40+42x^41+87x^42+118x^43+189x^44+186x^45+260x^46+394x^47+449x^48+594x^49+745x^50+834x^51+1037x^52+1160x^53+1272x^54+1404x^55+1447x^56+1670x^57+1784x^58+1770x^59+1734x^60+1790x^61+1726x^62+1712x^63+1675x^64+1384x^65+1214x^66+1118x^67+947x^68+924x^69+708x^70+580x^71+475x^72+332x^73+285x^74+224x^75+148x^76+100x^77+98x^78+38x^79+39x^80+10x^81+13x^82+8x^84+1x^88+1x^92 The gray image is a code over GF(2) with n=120, k=15 and d=40. This code was found by Heurico 1.16 in 99.1 seconds.