The generator matrix 1 0 0 0 0 0 1 1 1 2 2 2 2 0 1 1 1 1 0 2 0 1 0 2 2 1 1 1 2 2 1 0 1 1 1 1 0 1 2 1 1 1 0 0 0 1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 1 1 1 1 2 2 3 1 1 1 1 2 1 0 0 2 3 1 2 1 2 1 1 2 3 2 1 2 2 1 2 2 1 2 0 1 3 2 1 0 0 0 1 0 0 0 0 0 0 0 1 1 1 3 1 1 1 2 0 1 2 3 2 2 1 2 3 3 3 1 3 2 3 3 1 2 1 0 0 0 1 1 1 1 0 0 0 0 0 2 0 0 0 0 1 0 0 0 1 1 1 1 3 2 0 0 2 0 3 3 3 2 1 0 2 1 0 3 0 3 1 2 1 0 3 1 0 0 1 0 0 1 0 2 0 1 3 3 2 1 1 0 0 0 0 0 1 0 1 1 0 1 1 0 3 2 3 0 0 1 0 2 0 2 1 1 2 1 3 2 1 1 2 1 1 3 0 2 1 2 0 2 1 2 3 1 3 2 3 3 1 3 0 0 0 0 0 0 1 1 0 1 1 3 0 2 1 3 1 2 1 2 3 1 3 1 1 3 2 2 1 2 2 0 3 1 3 1 3 2 1 1 3 0 3 1 1 0 1 2 3 1 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 0 0 2 0 0 0 0 2 2 2 2 0 0 2 2 2 2 2 0 2 0 0 0 2 2 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 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 2 0 2 2 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 0 0 2 2 0 2 0 2 0 0 2 2 2 2 0 0 0 2 2 0 2 0 generates a code of length 51 over Z4 who´s minimum homogenous weight is 38. Homogenous weight enumerator: w(x)=1x^0+108x^38+138x^39+354x^40+452x^41+743x^42+814x^43+1091x^44+1236x^45+1553x^46+1900x^47+1934x^48+2284x^49+2201x^50+2518x^51+2422x^52+2526x^53+2241x^54+1994x^55+1671x^56+1300x^57+1057x^58+674x^59+583x^60+344x^61+235x^62+144x^63+115x^64+44x^65+47x^66+10x^67+16x^68+6x^69+7x^70+5x^72 The gray image is a code over GF(2) with n=102, k=15 and d=38. This code was found by Heurico 1.16 in 94.9 seconds.