The generator matrix 1 0 0 1 1 1 0 1 1 2 1 1 0 2 1 1 1 1 0 2 1 2 1 1 0 0 1 1 1 1 1 1 1 1 1 0 1 1 1 2 1 1 1 1 0 1 1 1 0 1 0 0 1 1 1 0 2 0 1 3 1 1 2 2 1 3 1 0 2 1 1 0 1 1 1 2 0 1 0 3 1 1 1 1 2 1 2 1 3 0 1 2 1 2 0 3 0 0 1 1 1 0 1 2 3 1 0 3 0 3 2 1 1 2 0 1 1 3 3 2 2 3 0 1 2 3 0 0 3 0 3 3 2 0 3 1 0 0 2 2 1 1 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 2 2 2 0 0 0 0 2 0 2 2 0 2 2 0 2 0 2 2 0 2 0 2 0 2 2 0 2 0 2 0 2 0 2 0 0 0 0 0 2 0 0 2 2 0 2 0 0 0 0 2 2 0 0 0 0 2 2 0 0 2 2 0 2 0 2 0 0 2 2 2 2 0 2 2 0 2 0 2 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 2 2 2 0 0 2 0 2 2 2 0 0 2 2 2 0 2 2 0 0 2 2 2 2 0 0 0 2 0 0 0 2 2 0 2 2 2 0 0 0 0 0 0 2 2 0 2 2 0 0 0 0 0 2 2 2 2 0 0 2 0 0 2 0 0 2 2 2 2 2 2 0 0 0 2 2 2 0 0 0 0 0 2 0 2 generates a code of length 48 over Z4 who´s minimum homogenous weight is 42. Homogenous weight enumerator: w(x)=1x^0+138x^42+160x^44+202x^46+141x^48+151x^50+73x^52+54x^54+58x^56+22x^58+14x^60+8x^62+1x^66+1x^68 The gray image is a code over GF(2) with n=96, k=10 and d=42. This code was found by Heurico 1.16 in 5.07 seconds.