The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 2 2 2 1 0 2 1 1 1 0 2 1 1 2 0 1 1 2 1 1 1 2 2 1 1 0 1 1 1 1 0 1 0 0 0 1 1 1 0 0 3 3 1 0 1 0 1 1 1 2 0 0 0 2 1 1 2 2 1 1 1 1 2 2 1 1 2 2 1 0 0 0 0 0 1 0 1 1 0 1 0 1 1 0 0 1 1 3 2 2 1 1 1 2 1 2 0 1 1 1 1 3 0 1 0 0 3 0 2 2 3 1 0 0 0 0 0 1 1 0 1 1 1 0 1 0 1 1 0 1 0 1 2 2 1 1 1 1 3 2 0 3 0 2 0 0 3 1 1 2 0 1 3 1 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 2 2 2 2 0 2 2 0 2 2 0 2 0 0 2 0 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 2 0 2 0 0 2 2 2 2 0 0 2 2 0 0 2 2 0 2 2 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 2 0 0 0 2 2 0 2 2 2 0 2 2 2 0 0 0 0 2 0 2 2 0 2 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 0 2 2 0 2 2 0 0 2 0 0 2 2 2 0 0 0 0 0 0 2 2 0 0 2 2 2 2 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 2 0 2 0 2 0 2 2 2 0 0 0 2 0 2 2 2 2 2 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 0 2 2 0 0 2 0 2 2 0 2 2 2 2 0 generates a code of length 42 over Z4 who´s minimum homogenous weight is 30. Homogenous weight enumerator: w(x)=1x^0+68x^30+40x^31+237x^32+244x^33+391x^34+500x^35+623x^36+766x^37+946x^38+1048x^39+1141x^40+1352x^41+1262x^42+1562x^43+1288x^44+1252x^45+1021x^46+768x^47+596x^48+428x^49+323x^50+160x^51+167x^52+46x^53+76x^54+16x^55+41x^56+8x^57+8x^58+2x^59+2x^60+1x^62 The gray image is a code over GF(2) with n=84, k=14 and d=30. This code was found by Heurico 1.16 in 34 seconds.