The generator matrix 1 0 0 0 0 1 1 1 0 1 1 2 1 1 2 1 0 2 2 2 1 2 1 1 1 2 1 2 0 0 0 0 1 1 1 1 2 1 1 0 2 1 0 1 0 0 0 0 0 0 0 1 3 1 1 1 1 3 1 1 2 2 1 1 0 2 3 0 2 0 1 0 1 1 2 3 1 1 1 1 2 2 1 0 0 0 1 0 0 0 1 1 1 1 1 0 0 2 2 0 0 3 1 1 3 3 3 2 1 2 2 1 1 2 1 1 1 3 2 0 3 2 0 2 0 0 0 0 0 1 0 1 1 0 1 0 0 1 1 2 0 1 1 1 1 0 1 2 1 3 3 1 0 2 2 2 1 0 3 3 2 1 2 2 1 1 3 3 0 0 0 0 1 1 0 1 1 0 1 0 2 1 1 1 1 3 0 1 3 2 1 0 0 3 3 1 3 1 2 3 3 2 2 0 1 1 2 2 2 3 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 0 2 2 2 0 2 2 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 2 2 2 2 2 0 0 2 2 0 0 2 2 2 0 2 0 0 2 0 2 0 2 0 2 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 2 2 0 2 2 0 2 2 0 0 0 0 2 2 2 0 2 2 0 2 0 2 0 2 2 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 2 2 0 2 0 0 2 2 0 0 2 2 0 0 0 0 0 2 0 0 0 2 0 0 0 2 2 0 0 0 0 0 0 0 0 0 2 2 0 2 2 2 0 0 0 0 2 0 0 2 0 2 2 0 2 0 2 0 0 2 0 2 2 2 2 2 2 0 0 generates a code of length 42 over Z4 who´s minimum homogenous weight is 30. Homogenous weight enumerator: w(x)=1x^0+95x^30+164x^31+342x^32+492x^33+751x^34+938x^35+1205x^36+1452x^37+1868x^38+2264x^39+2453x^40+2810x^41+2780x^42+2798x^43+2629x^44+2434x^45+1996x^46+1636x^47+1237x^48+848x^49+588x^50+358x^51+287x^52+144x^53+104x^54+32x^55+31x^56+10x^57+8x^58+2x^59+7x^60+2x^61+1x^62+1x^66 The gray image is a code over GF(2) with n=84, k=15 and d=30. This code was found by Heurico 1.16 in 67.1 seconds.