The generator matrix 1 0 0 0 0 0 0 1 1 1 2 0 0 2 0 0 1 1 1 0 2 1 0 2 1 1 0 1 2 1 1 2 2 1 1 2 0 1 1 1 1 2 1 0 0 1 0 2 1 2 2 1 0 1 1 0 1 0 1 2 1 1 2 1 0 2 0 0 2 2 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 1 2 1 1 2 1 3 2 1 2 0 1 1 3 0 0 3 1 3 2 2 1 1 0 1 1 3 2 2 2 2 1 1 2 0 2 0 2 1 1 1 1 1 0 1 1 0 2 0 0 1 1 0 1 0 1 2 1 0 2 0 1 0 3 3 1 2 2 3 3 0 0 1 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 3 3 0 1 3 1 2 2 3 3 2 0 3 1 2 3 2 1 1 1 3 2 3 3 3 0 1 2 0 0 2 1 2 0 1 2 1 2 3 1 1 3 3 0 1 2 1 2 2 2 3 3 1 1 1 0 1 0 1 1 2 2 0 1 0 0 2 0 0 3 2 1 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 1 1 1 3 1 3 1 1 2 1 2 0 3 1 3 2 2 3 2 0 1 0 1 0 2 1 3 3 3 3 0 2 0 0 3 3 2 3 0 2 1 2 3 3 3 0 1 0 2 0 2 1 0 3 1 3 1 3 2 1 3 1 0 0 1 1 0 3 0 3 1 0 0 0 0 0 0 1 0 0 0 1 1 1 2 0 1 1 1 0 3 0 0 3 3 3 2 3 1 2 0 0 2 3 1 2 2 0 0 2 3 0 3 2 3 1 3 0 2 2 1 3 3 1 0 0 1 1 3 1 1 2 0 0 3 0 1 2 1 1 2 1 0 0 2 1 1 3 3 0 0 0 2 1 0 2 2 0 3 0 0 0 0 0 0 0 0 1 0 1 0 1 3 2 0 3 1 1 0 3 3 3 2 0 0 2 2 2 1 1 1 0 1 2 1 3 0 1 2 2 3 3 3 0 1 2 1 3 1 3 0 0 3 3 1 0 0 2 3 3 1 2 1 3 2 1 0 2 2 2 1 3 1 0 1 3 1 1 0 0 1 3 0 0 2 1 2 1 1 0 0 0 0 0 0 0 0 1 1 3 2 1 1 1 2 1 0 2 0 0 2 3 2 2 1 1 3 2 1 2 1 0 1 3 2 1 2 0 1 2 1 2 0 3 2 0 3 3 0 0 1 1 1 0 0 0 2 2 3 3 3 2 1 2 0 0 2 2 0 1 3 3 1 1 2 0 2 1 0 1 0 1 3 1 0 3 2 1 0 0 0 0 0 0 0 0 0 2 2 0 2 2 2 0 2 0 0 0 0 0 2 0 0 2 2 2 0 2 0 2 2 0 0 2 0 2 2 0 2 0 2 0 0 2 0 0 0 2 2 2 0 0 0 2 2 2 0 0 2 0 0 0 2 0 2 2 0 0 2 2 2 2 0 2 2 2 2 2 2 0 0 2 0 2 2 0 2 0 0 generates a code of length 89 over Z4 who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+84x^72+378x^74+779x^76+1330x^78+1854x^80+2314x^82+2829x^84+3169x^86+3504x^88+3612x^90+3346x^92+3100x^94+2372x^96+1779x^98+1049x^100+632x^102+358x^104+160x^106+77x^108+30x^110+3x^112+5x^114+3x^118 The gray image is a code over GF(2) with n=178, k=15 and d=72. This code was found by Heurico 1.10 in 161 seconds.