The generator matrix 1 0 1 1 1 0 1 1 0 1 1 2 1 1 0 1 0 1 0 1 1 0 1 1 1 1 0 1 0 1 1 2 1 1 0 1 2 0 1 1 1 1 0 1 0 1 1 2 1 1 2 1 1 2 1 1 1 2 0 1 0 2 1 1 1 1 1 2 1 0 1 1 1 0 1 1 1 0 1 0 1 0 1 1 0 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 2 3 1 0 1 3 1 0 3 1 0 3 2 3 1 3 1 0 2 1 3 3 1 2 1 1 3 3 0 3 1 0 1 3 3 1 2 1 1 2 3 1 2 2 0 1 1 1 1 1 0 2 3 0 3 1 1 1 2 0 2 1 3 2 3 1 0 2 1 1 1 2 1 0 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 0 2 2 0 2 0 2 2 0 0 2 2 0 2 2 2 2 2 2 0 2 2 2 0 0 0 0 2 2 0 2 0 2 0 2 2 2 2 2 2 0 2 0 0 0 0 2 2 2 0 2 2 2 0 0 2 0 2 2 2 2 0 2 2 0 2 0 2 2 2 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 0 0 2 2 2 2 0 0 0 0 2 0 0 0 2 0 2 0 2 0 2 2 0 0 0 2 0 2 2 0 2 0 2 0 2 0 0 0 2 2 0 2 0 2 2 0 0 2 2 0 2 0 2 2 2 0 0 2 2 0 0 2 2 0 2 0 2 2 2 0 0 2 2 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 0 2 0 2 2 0 2 2 2 0 0 0 0 2 0 0 2 0 2 0 2 2 2 2 2 0 2 0 2 0 2 2 0 2 0 0 0 0 2 0 0 2 2 2 0 0 0 0 2 0 2 2 2 0 0 0 0 2 2 2 2 2 0 0 2 0 2 0 0 0 2 0 2 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 2 0 0 0 0 2 2 0 0 2 2 0 2 0 0 0 2 2 0 2 0 2 0 2 2 2 2 0 0 0 0 0 2 2 0 2 0 2 2 0 2 2 2 2 2 2 0 2 0 2 0 2 0 2 2 2 2 0 2 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 2 2 0 0 2 0 0 0 0 2 0 2 2 2 2 0 2 2 2 2 0 2 0 0 0 2 0 0 0 2 0 0 0 0 2 2 2 2 0 0 2 2 0 0 0 2 2 2 0 2 2 2 0 0 0 0 2 0 2 0 2 0 2 2 0 2 0 2 0 2 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 2 2 2 2 0 0 2 0 2 0 0 2 2 0 2 0 2 0 0 2 0 2 0 2 0 0 2 2 0 2 2 2 0 2 2 0 0 0 2 2 2 2 2 0 2 2 2 0 2 0 2 2 2 0 0 0 0 0 2 0 2 2 2 2 2 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 2 0 0 0 0 2 2 0 0 2 0 2 0 2 2 2 0 0 2 0 2 0 2 2 0 0 0 2 2 2 0 2 2 0 2 0 0 0 2 2 2 2 2 2 0 0 2 2 2 0 0 0 2 0 0 2 2 2 2 0 2 2 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 2 2 2 0 0 2 2 2 2 0 0 0 0 2 0 0 0 2 0 0 2 2 0 2 0 0 0 0 2 2 2 2 2 0 2 0 2 2 2 0 0 0 2 2 0 2 0 0 2 0 0 0 2 2 2 2 0 2 0 2 2 0 0 0 0 2 0 0 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 0 0 2 2 2 0 2 0 2 0 2 2 0 0 2 2 0 2 0 0 0 0 2 0 0 2 2 2 2 0 2 0 0 2 0 2 2 0 0 2 2 0 2 0 0 2 0 0 2 2 0 0 0 0 2 0 2 2 0 2 0 2 2 2 0 2 2 2 2 0 2 2 generates a code of length 89 over Z4 who´s minimum homogenous weight is 74. Homogenous weight enumerator: w(x)=1x^0+75x^74+182x^76+262x^78+458x^80+547x^82+786x^84+882x^86+959x^88+965x^90+867x^92+745x^94+519x^96+405x^98+221x^100+145x^102+66x^104+52x^106+23x^108+13x^110+10x^112+4x^114+1x^116+1x^118+3x^120 The gray image is a code over GF(2) with n=178, k=13 and d=74. This code was found by Heurico 1.16 in 56.2 seconds.