The generator matrix 1 0 0 0 0 0 1 1 1 1 0 1 0 1 2 1 1 1 0 1 2 1 1 0 2 0 2 1 1 2 1 0 1 2 1 1 2 1 1 0 1 0 2 1 1 0 1 2 1 0 2 1 0 0 0 2 2 1 1 0 0 2 1 0 1 0 1 2 2 1 1 0 1 1 1 1 1 1 1 0 1 0 2 1 2 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 2 2 1 3 3 1 1 1 1 3 2 1 1 1 3 1 1 0 1 2 2 1 2 2 0 0 1 3 0 1 3 0 1 2 0 1 1 1 3 1 2 1 1 0 1 3 2 0 2 3 1 0 1 1 1 1 0 1 2 3 2 0 0 1 2 2 0 3 0 0 2 2 3 0 0 0 1 0 0 0 0 0 0 0 2 2 2 0 0 0 0 2 2 2 2 0 0 0 2 0 0 0 2 2 0 2 2 1 1 3 1 1 1 3 3 1 3 3 3 1 3 1 1 3 3 3 3 1 3 1 2 0 3 1 1 2 1 1 2 0 3 3 0 3 1 2 3 1 2 0 0 1 3 1 0 1 0 1 0 2 0 0 0 0 1 0 0 0 1 2 3 1 0 2 1 1 3 1 0 1 0 2 3 0 1 1 2 2 2 3 3 3 1 3 0 3 3 0 0 2 2 0 3 0 3 1 3 1 2 0 1 1 0 0 3 1 1 1 1 1 0 2 1 2 0 1 1 1 2 1 0 0 0 1 1 3 2 1 3 3 1 3 3 1 2 1 0 1 0 0 0 0 1 0 1 2 0 3 1 3 1 1 1 0 3 3 0 2 2 2 0 0 2 1 1 1 1 3 2 1 2 1 3 1 3 1 0 3 2 1 2 3 1 2 2 2 3 3 0 1 0 1 1 2 0 1 3 1 2 3 3 2 2 1 1 0 3 3 0 1 2 3 1 2 2 0 3 3 3 0 3 1 2 3 0 0 0 0 0 0 1 2 0 1 3 1 1 1 0 2 2 2 3 0 2 1 3 3 3 3 0 3 2 3 2 1 3 0 0 1 2 3 0 3 0 3 3 0 2 1 1 0 1 0 3 1 1 1 3 0 0 1 1 3 1 1 2 1 0 0 2 2 3 1 2 2 2 2 3 0 2 2 1 0 1 0 0 2 3 0 1 0 generates a code of length 87 over Z4 who´s minimum homogenous weight is 76. Homogenous weight enumerator: w(x)=1x^0+57x^76+126x^77+144x^78+178x^79+190x^80+222x^81+263x^82+258x^83+214x^84+208x^85+227x^86+218x^87+196x^88+184x^89+213x^90+156x^91+157x^92+166x^93+115x^94+128x^95+109x^96+88x^97+64x^98+64x^99+54x^100+26x^101+26x^102+20x^103+12x^104+2x^105+4x^106+2x^107+2x^108+2x^109 The gray image is a code over GF(2) with n=174, k=12 and d=76. This code was found by Heurico 1.10 in 1.14 seconds.