The generator matrix 1 0 0 0 0 0 0 1 1 1 1 1 1 1 0 1 0 1 2 0 1 2 2 2 1 0 1 2 0 2 1 1 0 0 1 0 1 1 1 0 1 1 1 0 0 1 1 1 1 2 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 2 1 3 1 3 1 1 1 1 2 1 3 1 1 2 2 1 3 1 1 0 1 0 1 1 3 0 0 2 2 0 1 2 2 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 1 1 3 2 1 1 2 2 0 1 3 1 0 1 3 1 0 3 1 0 0 3 2 1 0 1 1 3 1 2 0 2 2 3 1 3 0 0 0 2 1 1 0 0 0 0 0 1 0 0 0 0 1 0 2 1 3 1 1 3 3 2 0 2 0 3 1 3 3 2 0 3 1 2 3 2 1 1 1 2 0 3 0 1 1 0 0 3 3 3 0 2 2 2 0 0 0 0 0 0 0 1 0 0 0 1 1 2 2 3 1 3 2 2 2 2 3 0 3 3 0 0 3 2 3 0 3 3 3 0 3 3 0 1 1 0 2 0 3 3 3 3 3 2 3 3 2 3 1 0 0 0 0 0 0 1 0 1 0 1 2 3 0 1 3 0 1 3 2 1 2 2 3 0 0 0 1 1 3 1 1 0 2 2 0 3 3 1 1 3 2 3 0 0 2 3 3 2 1 3 2 2 0 0 0 0 0 0 0 1 1 3 2 3 0 0 1 2 1 3 2 1 3 0 2 0 3 0 1 2 3 3 0 2 3 0 2 3 0 0 3 3 0 3 0 2 2 0 2 2 0 3 3 2 2 0 0 0 0 0 0 0 0 2 2 0 2 0 0 2 0 2 2 0 2 2 0 0 2 0 2 0 2 0 0 2 2 2 2 2 0 2 2 2 2 2 0 2 2 2 2 2 0 2 0 0 2 2 0 generates a code of length 53 over Z4 who´s minimum homogenous weight is 39. Homogenous weight enumerator: w(x)=1x^0+28x^39+86x^40+226x^41+366x^42+452x^43+686x^44+906x^45+1031x^46+1266x^47+1553x^48+1826x^49+1988x^50+2172x^51+2392x^52+2520x^53+2418x^54+2304x^55+2146x^56+1890x^57+1730x^58+1308x^59+1036x^60+766x^61+525x^62+458x^63+242x^64+170x^65+122x^66+68x^67+46x^68+16x^69+10x^70+8x^71+4x^72+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 1.10 in 41.1 seconds.