The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 2 1 2 1 2 2 1 1 2 1 2 1 2 1 2 2 1 1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 0 2 2 2 2 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 0 2 0 0 2 0 2 2 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 2 2 0 2 2 2 2 2 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 0 2 0 2 2 2 2 2 0 0 2 2 0 2 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 0 2 2 0 0 0 2 2 2 0 2 0 2 0 2 2 0 2 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 0 0 2 2 2 2 0 2 0 2 0 0 2 0 0 2 2 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 0 2 0 0 2 2 0 2 0 2 2 0 0 2 0 0 2 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 2 0 2 0 2 0 2 2 2 2 0 0 0 0 2 0 0 0 2 2 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 2 0 2 0 2 2 0 0 0 2 2 2 2 0 0 0 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 0 2 2 2 0 0 2 2 2 2 0 2 2 2 0 0 2 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 2 0 0 0 0 0 0 0 2 2 0 2 0 2 0 2 2 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 2 2 2 2 2 2 2 0 2 2 2 2 2 2 0 0 0 0 0 2 0 2 generates a code of length 38 over Z4 who´s minimum homogenous weight is 24. Homogenous weight enumerator: w(x)=1x^0+208x^24+653x^28+80x^30+1552x^32+960x^34+3665x^36+2016x^38+3767x^40+960x^42+1675x^44+80x^46+587x^48+147x^52+29x^56+4x^60 The gray image is a code over GF(2) with n=76, k=14 and d=24. This code was found by Heurico 1.16 in 20.4 seconds.