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 1 1 0 0 1 2 1 2 0 1 2 0 1 2 1 1 0 0 0 0 0 0 1 0 1 1 2 1 1 1 2 1 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 3 2 1 3 0 1 1 0 1 2 2 0 1 1 2 1 1 0 1 3 3 2 1 2 1 0 2 1 2 2 3 1 2 3 2 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 1 1 0 0 1 1 0 0 1 3 1 1 2 0 0 3 2 3 2 0 1 3 1 3 2 0 1 3 3 2 0 1 1 1 1 0 0 1 2 2 2 1 0 3 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 0 1 1 0 1 2 0 0 0 0 2 0 2 1 1 1 3 1 1 1 1 1 1 0 1 3 3 0 3 1 3 1 2 2 1 3 1 3 3 0 1 1 0 2 0 0 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 0 2 0 2 0 2 2 2 2 2 0 2 0 2 0 2 2 0 2 2 2 2 2 0 0 2 0 0 0 0 2 2 2 0 0 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 0 0 2 0 2 2 0 2 0 0 2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 2 0 0 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 0 0 2 0 2 2 2 2 0 2 0 0 2 0 0 2 0 0 2 2 0 0 0 0 2 0 0 2 2 0 2 2 0 2 2 2 2 2 0 2 2 0 2 2 0 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 2 2 2 2 0 2 2 0 2 2 0 0 2 2 2 0 0 2 0 0 0 0 2 2 2 2 0 0 0 2 0 0 0 2 0 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 2 0 2 2 0 0 0 2 2 2 0 0 0 2 2 0 0 2 0 2 0 0 0 0 2 0 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 2 2 2 0 0 2 0 2 0 0 2 0 2 0 0 2 0 0 2 0 2 2 2 0 0 2 2 0 2 0 2 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 0 2 0 0 0 2 0 2 2 2 0 0 2 0 0 2 0 2 0 0 0 2 2 2 2 2 0 2 0 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 generates a code of length 62 over Z4 who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+76x^40+154x^42+347x^44+512x^46+825x^48+1217x^50+1559x^52+1986x^54+2331x^56+2756x^58+3010x^60+3121x^62+3118x^64+2761x^66+2395x^68+1954x^70+1570x^72+1148x^74+805x^76+573x^78+282x^80+168x^82+60x^84+30x^86+5x^88+4x^90 The gray image is a code over GF(2) with n=124, k=15 and d=40. This code was found by Heurico 1.16 in 98.8 seconds.