The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 2 2 2 2 1 2 2 2 1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 0 2 2 0 2 2 2 0 2 2 2 2 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 2 2 2 2 2 0 0 0 0 2 2 2 2 2 0 0 2 2 0 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 2 2 0 2 2 0 2 2 2 2 0 2 2 2 2 2 2 2 2 2 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 0 2 2 2 0 0 2 0 2 2 2 0 0 2 0 0 2 0 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 2 0 2 2 0 2 0 2 0 0 2 2 2 2 2 0 2 2 2 0 0 2 2 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 2 2 2 0 2 2 0 2 2 0 2 2 0 2 2 0 0 0 2 0 2 2 0 2 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 2 2 0 2 0 0 0 2 0 2 2 2 2 2 0 2 0 2 0 0 0 0 2 0 2 2 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 2 0 0 2 0 2 0 0 2 2 0 2 2 2 2 0 2 2 2 0 2 2 2 0 2 0 2 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 0 0 0 2 0 0 2 2 0 2 0 0 0 2 0 2 0 0 0 0 2 2 2 0 2 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 0 2 2 2 2 2 0 2 2 2 2 2 0 2 0 0 0 0 2 2 0 2 0 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+62x^30+114x^32+162x^34+255x^36+401x^38+664x^40+775x^42+659x^44+456x^46+239x^48+128x^50+90x^52+57x^54+22x^56+7x^58+3x^60+1x^68 The gray image is a code over GF(2) with n=84, k=12 and d=30. This code was found by Heurico 1.16 in 2.77 seconds.