The generator matrix 1 0 0 0 0 1 1 1 2 0 1 1 2 0 0 1 0 1 2 0 1 1 1 0 1 1 1 1 1 2 1 2 0 2 1 1 1 0 1 1 0 1 0 1 0 0 0 0 0 0 0 0 0 2 1 1 1 2 1 1 2 1 3 3 1 2 1 2 3 3 2 0 2 1 1 1 1 0 2 1 1 3 0 0 0 0 1 0 0 0 1 1 1 2 2 1 1 1 0 0 2 2 1 3 1 2 3 1 0 0 3 1 3 2 0 0 2 3 2 3 3 0 3 1 0 0 0 0 0 1 0 1 1 0 3 2 0 0 0 2 2 1 1 1 1 1 0 2 3 2 2 3 1 3 3 1 3 1 3 1 1 1 0 3 2 1 1 0 0 0 0 0 1 1 2 3 1 1 1 0 2 3 3 0 1 1 3 3 0 0 3 3 3 2 3 0 1 3 3 0 2 2 0 2 1 0 0 0 2 0 0 0 0 0 0 2 0 2 2 2 0 2 2 0 2 0 0 2 0 0 0 0 0 2 0 2 2 2 2 0 0 2 0 0 0 2 0 2 2 2 0 2 generates a code of length 42 over Z4 who´s minimum homogenous weight is 34. Homogenous weight enumerator: w(x)=1x^0+33x^34+86x^35+115x^36+144x^37+140x^38+174x^39+163x^40+110x^41+168x^42+168x^43+138x^44+110x^45+114x^46+128x^47+75x^48+74x^49+47x^50+18x^51+19x^52+10x^53+10x^54+2x^55+1x^56 The gray image is a code over GF(2) with n=84, k=11 and d=34. This code was found by Heurico 1.16 in 0.301 seconds.