The generator matrix 1 0 0 0 0 0 0 0 1 1 1 1 1 0 2 1 1 1 1 1 1 1 1 1 1 2 1 0 0 1 1 0 1 2 0 1 2 1 0 1 1 0 0 1 1 1 2 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 1 2 1 3 3 3 1 2 1 1 0 2 0 3 2 1 0 3 1 3 0 0 3 1 1 2 3 1 1 1 2 1 0 1 2 1 3 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 1 3 1 1 3 1 1 1 3 3 1 1 2 1 1 1 1 1 3 1 2 1 0 0 0 0 0 1 0 0 0 0 0 1 1 2 3 1 1 3 0 2 2 3 0 1 0 2 3 0 3 1 1 1 3 3 0 1 2 0 2 2 1 2 3 1 1 0 3 0 0 3 2 1 0 0 0 0 0 1 0 0 0 1 0 2 3 1 3 1 1 2 0 1 2 3 3 1 2 1 1 2 2 2 2 0 1 3 1 0 2 0 3 0 1 3 0 0 1 1 0 0 2 0 1 0 0 0 0 0 0 1 0 0 1 2 3 3 2 3 1 0 3 2 0 3 2 1 1 1 3 2 1 2 2 1 0 2 1 1 1 0 1 3 2 1 2 1 0 2 0 1 1 2 0 3 1 0 0 0 0 0 0 1 0 1 3 2 0 0 2 1 2 0 1 3 3 1 3 0 1 0 1 0 1 0 0 1 2 1 2 2 1 1 2 0 3 2 3 3 1 3 2 0 2 1 2 3 0 0 0 0 0 0 0 1 2 1 2 3 0 0 1 1 3 3 2 2 1 3 0 0 1 0 2 0 3 3 0 2 2 2 3 1 1 3 2 1 2 0 2 0 2 1 2 0 2 3 3 generates a code of length 51 over Z4 who´s minimum homogenous weight is 37. Homogenous weight enumerator: w(x)=1x^0+50x^37+181x^38+378x^39+580x^40+902x^41+1196x^42+1538x^43+2005x^44+2534x^45+3030x^46+3626x^47+4284x^48+4562x^49+5028x^50+5230x^51+5114x^52+4892x^53+4341x^54+3838x^55+3240x^56+2554x^57+1964x^58+1470x^59+1050x^60+758x^61+468x^62+286x^63+215x^64+126x^65+44x^66+18x^67+22x^68+6x^69+4x^70+1x^76 The gray image is a code over GF(2) with n=102, k=16 and d=37. This code was found by Heurico 1.10 in 153 seconds.