The generator matrix 1 0 0 0 0 0 1 1 1 2 1 1 1 2 1 1 1 1 1 1 1 1 0 0 2 0 0 0 0 1 1 2 2 1 0 1 1 2 0 1 0 1 2 1 0 1 0 1 1 2 2 1 1 0 1 1 1 0 1 0 0 0 0 0 0 0 0 0 1 1 1 1 3 2 2 1 3 3 3 1 1 1 0 0 1 1 2 3 1 2 3 2 2 2 0 1 3 0 2 2 0 2 1 1 2 1 1 2 2 0 1 0 3 0 0 0 1 0 0 0 0 0 0 0 1 0 1 3 1 2 3 1 3 2 2 3 3 2 0 1 1 3 1 3 0 2 1 1 2 1 0 1 0 3 1 3 1 3 1 2 0 1 0 0 1 2 1 2 0 2 0 0 0 0 1 0 0 0 1 1 1 2 2 0 2 3 1 3 2 0 2 3 1 1 1 2 3 1 2 1 1 3 0 2 3 1 3 1 0 2 0 3 0 0 1 0 2 2 2 0 3 3 1 2 0 1 2 0 0 0 0 0 1 0 1 0 1 3 2 2 1 1 3 0 2 1 2 3 1 2 2 2 3 0 3 0 1 1 2 1 0 2 3 2 0 1 0 0 3 0 0 1 1 1 3 2 0 0 1 0 1 2 0 2 0 0 0 0 0 0 1 1 3 2 1 1 3 3 0 0 0 2 2 0 2 3 1 2 1 3 1 0 3 1 3 0 1 0 3 1 2 3 1 2 2 1 2 3 0 0 3 0 0 2 0 3 3 0 3 2 2 3 0 0 0 0 0 0 2 2 0 2 2 2 2 0 0 0 0 0 0 0 2 2 0 2 2 2 2 0 0 0 2 0 2 0 0 2 0 0 2 2 0 0 2 2 0 0 2 2 0 0 0 2 2 0 0 0 0 generates a code of length 57 over Z4 who´s minimum homogenous weight is 46. Homogenous weight enumerator: w(x)=1x^0+64x^46+148x^47+213x^48+272x^49+332x^50+390x^51+395x^52+480x^53+499x^54+480x^55+517x^56+554x^57+592x^58+536x^59+520x^60+480x^61+398x^62+352x^63+298x^64+212x^65+140x^66+130x^67+92x^68+48x^69+23x^70+12x^71+11x^72+2x^73+1x^84 The gray image is a code over GF(2) with n=114, k=13 and d=46. This code was found by Heurico 1.10 in 3.08 seconds.