The generator matrix 1 0 0 0 0 1 1 1 1 0 1 1 1 1 1 1 0 0 2 2 1 1 2 1 1 1 0 0 2 0 0 2 0 2 2 1 1 1 1 1 1 1 0 0 0 1 1 1 1 0 1 2 2 1 1 1 1 1 0 1 0 0 0 0 1 1 1 1 2 2 0 0 1 3 2 1 1 0 3 1 1 1 2 0 1 0 0 2 1 1 0 2 0 3 3 0 1 3 3 0 0 1 2 0 0 2 3 0 1 1 1 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 1 1 1 0 1 1 0 1 2 1 1 3 2 3 0 2 2 1 1 3 1 1 1 1 2 3 2 3 2 3 1 2 1 0 1 1 3 0 1 2 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 2 3 1 2 1 1 1 0 3 1 2 3 3 2 1 0 0 1 1 2 2 2 3 2 2 1 0 0 0 0 3 3 1 1 1 3 2 2 0 1 1 3 1 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 3 2 0 3 3 1 3 3 0 0 2 0 2 3 3 0 3 1 1 0 0 2 2 1 2 0 1 2 1 1 1 3 1 3 3 0 3 3 2 3 3 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 2 2 2 2 2 0 2 0 0 2 2 2 0 0 2 0 0 2 0 2 0 2 0 2 0 0 0 2 2 2 0 2 2 2 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 0 0 0 0 2 2 0 0 0 0 2 0 0 2 2 2 0 2 2 2 0 2 2 2 0 0 2 0 2 2 2 2 0 2 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 2 2 0 2 2 0 2 0 2 2 0 2 0 2 0 2 2 0 0 0 0 2 2 2 0 2 2 0 2 0 2 2 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 2 2 2 2 0 2 0 2 2 0 2 2 2 2 0 0 2 2 2 0 2 2 2 2 0 2 2 2 2 2 0 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 0 0 2 2 0 2 2 0 2 2 0 0 2 0 2 0 2 0 2 2 0 2 2 2 2 0 2 0 2 0 0 2 2 2 0 2 0 0 0 0 0 0 0 generates a code of length 58 over Z4 who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+81x^40+215x^42+418x^44+88x^45+698x^46+300x^47+872x^48+646x^49+1205x^50+1058x^51+1383x^52+1522x^53+1345x^54+2040x^55+1280x^56+2454x^57+1326x^58+2496x^59+1345x^60+2228x^61+1341x^62+1572x^63+1379x^64+1018x^65+1240x^66+618x^67+977x^68+210x^69+592x^70+104x^71+379x^72+26x^73+180x^74+4x^75+69x^76+39x^78+8x^80+9x^82+1x^86+1x^90 The gray image is a code over GF(2) with n=116, k=15 and d=40. This code was found by Heurico 1.16 in 99.2 seconds.