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 2 1 1 1 1 2 1 2 1 1 1 1 2 2 1 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 2 2 0 0 2 2 2 2 0 0 2 2 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 0 0 2 2 0 2 0 2 2 0 2 2 2 2 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 0 2 2 2 0 2 2 0 2 0 0 0 0 0 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 0 2 0 0 0 0 0 2 0 0 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 2 2 2 0 0 0 2 0 2 2 0 2 0 2 2 2 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 2 2 2 0 2 2 0 0 0 2 2 2 0 0 2 0 2 0 0 2 0 2 2 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 2 2 0 2 0 0 0 2 2 0 2 2 0 2 2 2 0 2 0 2 0 0 0 0 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 0 2 2 2 0 0 0 2 2 0 2 2 2 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 2 2 2 2 0 2 0 0 0 2 0 0 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 2 0 0 0 0 2 2 2 0 0 generates a code of length 40 over Z4 who´s minimum homogenous weight is 28. Homogenous weight enumerator: w(x)=1x^0+118x^28+275x^32+32x^34+597x^36+480x^38+1094x^40+480x^42+600x^44+32x^46+276x^48+90x^52+18x^56+2x^60+1x^68 The gray image is a code over GF(2) with n=80, k=12 and d=28. This code was found by Heurico 1.16 in 1.8 seconds.