The generator matrix 1 0 0 0 0 0 1 1 1 2 0 0 0 1 1 0 1 2 0 2 1 0 2 2 1 1 1 0 1 2 1 1 1 0 0 1 2 0 1 1 2 1 1 0 1 2 2 1 2 1 2 0 1 1 0 1 0 0 0 0 0 0 0 0 1 1 1 1 1 2 1 0 2 1 2 0 1 1 0 3 1 2 1 1 0 1 3 2 2 3 1 1 2 3 0 3 0 1 3 1 2 3 1 0 1 0 3 0 0 0 1 0 0 0 0 0 0 0 0 0 2 1 3 1 1 1 1 2 0 1 3 1 3 2 0 2 0 1 3 3 2 2 1 1 1 1 0 0 2 2 0 3 3 0 1 3 3 2 0 1 2 0 0 0 0 1 0 0 0 1 1 1 1 2 1 0 1 0 2 3 1 1 0 3 3 1 1 2 1 1 0 0 0 3 3 2 1 1 2 3 0 1 1 1 1 0 1 3 0 3 2 2 2 3 3 0 0 0 0 0 1 0 1 1 0 3 1 3 0 2 3 3 1 0 1 2 2 1 2 3 2 3 0 1 2 3 2 1 0 1 0 3 1 3 1 1 0 1 1 1 0 0 1 2 0 0 2 0 2 0 0 0 0 0 0 1 1 0 1 1 2 0 2 2 0 1 0 1 0 1 1 3 3 2 3 0 2 2 1 0 1 3 1 1 0 2 0 3 0 3 1 0 1 1 3 1 1 1 3 1 0 0 1 2 0 0 0 0 0 0 2 0 2 0 0 2 2 0 0 2 2 2 0 2 0 0 0 2 0 0 0 2 2 0 0 2 2 0 2 0 0 2 2 2 0 2 0 0 2 2 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 2 0 2 0 0 2 2 2 0 2 0 0 0 2 0 0 2 2 2 2 0 0 0 0 0 2 2 2 2 2 0 0 0 0 2 0 2 2 0 2 2 0 generates a code of length 54 over Z4 who´s minimum homogenous weight is 42. Homogenous weight enumerator: w(x)=1x^0+76x^42+138x^43+257x^44+414x^45+473x^46+526x^47+709x^48+820x^49+910x^50+968x^51+1076x^52+1210x^53+1138x^54+1130x^55+1124x^56+1180x^57+1024x^58+782x^59+673x^60+582x^61+379x^62+262x^63+212x^64+128x^65+86x^66+32x^67+42x^68+18x^69+9x^70+2x^71+2x^72+1x^86 The gray image is a code over GF(2) with n=108, k=14 and d=42. This code was found by Heurico 1.16 in 54.6 seconds.