The generator matrix 1 0 0 0 0 1 1 1 0 1 1 1 0 2 0 1 1 2 1 0 1 0 0 0 1 2 2 1 1 1 1 0 2 1 2 1 0 2 0 0 1 1 0 1 1 0 0 1 0 1 2 0 1 0 1 0 0 0 0 0 0 0 1 3 1 1 1 1 3 3 1 2 2 3 1 0 2 2 1 1 3 1 2 0 2 1 0 1 1 1 1 1 1 0 2 0 3 2 0 0 3 1 0 0 1 0 0 0 1 0 0 0 1 1 1 1 1 1 3 0 1 2 0 1 3 1 3 0 1 0 0 1 2 0 2 1 0 2 2 3 0 1 2 1 0 0 1 2 1 1 3 0 2 3 1 3 1 0 0 0 0 0 1 0 1 1 0 1 0 0 1 0 2 1 3 2 1 2 3 1 3 0 1 3 2 3 0 3 3 0 1 3 3 2 3 0 0 3 1 1 3 1 2 2 1 1 2 3 0 2 1 0 0 0 0 0 1 1 0 1 1 0 1 1 2 3 3 2 1 2 0 2 0 1 3 1 2 1 2 2 1 1 3 3 3 2 1 2 1 1 0 1 2 2 2 2 1 0 0 3 1 0 0 1 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 0 2 2 2 2 2 2 2 2 2 2 2 0 2 2 0 2 2 2 2 0 2 2 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 2 0 2 2 0 2 0 0 0 2 0 2 2 0 0 2 0 2 0 2 0 2 0 2 0 0 2 2 0 0 2 0 0 0 2 2 2 2 2 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 0 2 2 0 2 0 2 2 0 2 0 0 2 0 2 2 0 0 2 2 0 2 2 2 2 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 2 2 2 0 2 2 0 2 0 2 2 2 0 0 0 0 2 2 2 0 0 0 2 0 0 0 2 0 0 0 2 0 2 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 2 2 2 0 0 2 2 0 0 2 0 2 2 2 2 0 2 2 0 2 2 0 2 2 2 2 2 2 0 2 2 2 2 0 0 2 0 2 0 0 generates a code of length 53 over Z4 who´s minimum homogenous weight is 39. Homogenous weight enumerator: w(x)=1x^0+32x^39+137x^40+198x^41+349x^42+490x^43+682x^44+802x^45+1042x^46+1218x^47+1553x^48+1878x^49+2029x^50+2232x^51+2306x^52+2530x^53+2402x^54+2410x^55+2157x^56+1832x^57+1673x^58+1378x^59+1022x^60+766x^61+550x^62+382x^63+286x^64+166x^65+123x^66+44x^67+38x^68+14x^69+22x^70+6x^71+10x^72+6x^73+2x^74 The gray image is a code over GF(2) with n=106, k=15 and d=39. This code was found by Heurico 1.16 in 96.9 seconds.