The generator matrix 1 0 1 1 1 0 1 1 0 1 1 2 1 1 0 1 0 1 1 1 2 1 1 0 1 0 1 1 1 1 0 1 2 1 1 2 1 1 2 1 1 2 1 1 1 1 0 1 1 1 0 1 0 1 1 2 0 2 1 1 1 1 1 1 1 1 1 1 0 1 2 1 2 2 1 1 1 2 2 1 1 0 1 2 1 1 0 2 1 0 1 1 0 1 1 0 1 1 0 3 1 2 3 1 0 1 3 2 3 1 3 0 1 2 1 3 0 3 1 1 0 1 3 2 1 0 1 1 3 1 1 0 0 3 3 1 0 2 0 1 3 1 1 2 1 1 1 2 0 1 3 2 1 2 1 0 0 1 1 1 3 1 1 3 0 0 1 2 0 0 1 1 1 1 0 1 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 2 2 2 2 2 2 0 2 0 0 0 2 2 0 0 2 2 0 0 2 2 2 0 0 0 0 2 2 2 2 2 0 2 2 2 2 0 0 2 0 0 0 0 0 2 2 2 2 0 0 0 2 0 2 0 0 2 0 0 2 2 0 2 0 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 2 0 2 0 0 0 0 2 2 0 0 2 2 2 2 2 2 2 2 2 0 0 2 2 0 2 2 2 2 2 0 2 0 0 2 0 2 2 0 2 0 0 0 2 2 0 2 0 2 0 2 0 0 0 0 0 2 0 0 0 2 0 0 0 2 2 2 2 2 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 0 2 2 0 2 0 0 2 0 2 2 0 0 2 0 2 0 2 2 0 2 2 0 2 0 2 2 2 0 2 0 2 0 2 2 2 2 0 0 0 2 0 0 0 0 0 2 0 2 0 2 0 0 2 0 0 0 0 2 0 2 2 0 2 2 2 2 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 0 2 0 2 0 0 0 2 2 0 0 2 2 0 2 0 2 0 2 2 2 2 2 2 0 2 2 2 2 2 2 0 0 0 0 0 2 2 2 0 0 0 2 0 0 2 2 2 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 0 2 2 2 2 0 2 2 2 0 2 0 2 2 0 0 0 2 2 0 2 0 0 0 2 2 0 0 0 2 2 0 2 2 2 0 2 2 2 2 2 2 0 2 2 0 0 2 2 0 0 2 2 2 2 2 2 2 2 0 2 0 2 2 2 2 0 2 2 0 2 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 2 2 2 0 2 2 0 0 2 0 0 0 2 2 2 2 2 0 2 0 2 2 0 0 0 2 0 0 2 0 2 0 0 2 2 2 0 0 0 0 2 2 0 2 2 2 2 2 0 2 0 0 2 2 2 0 2 2 2 0 2 2 2 0 2 0 0 2 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 2 0 2 2 0 0 0 2 0 0 0 2 2 2 2 2 2 0 0 0 2 0 2 2 0 2 0 2 0 2 0 2 0 0 2 0 0 2 0 2 2 2 0 2 0 2 2 0 0 2 2 0 0 2 2 2 0 0 0 0 0 2 2 0 0 2 0 0 0 0 2 2 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 2 2 0 0 2 2 2 2 2 0 2 0 0 0 0 2 0 0 0 2 0 2 0 0 2 2 2 2 0 0 2 2 2 2 2 0 0 0 0 0 2 2 0 0 0 2 0 2 2 0 0 0 0 2 2 2 0 0 2 2 0 0 2 0 0 2 0 2 2 2 0 0 0 0 2 generates a code of length 89 over Z4 who´s minimum homogenous weight is 76. Homogenous weight enumerator: w(x)=1x^0+52x^76+22x^77+116x^78+92x^79+147x^80+108x^81+171x^82+190x^83+197x^84+220x^85+227x^86+260x^87+202x^88+256x^89+180x^90+260x^91+150x^92+246x^93+150x^94+172x^95+143x^96+132x^97+95x^98+46x^99+80x^100+40x^101+41x^102+4x^103+26x^104+30x^106+14x^108+8x^110+9x^112+4x^114+3x^116+2x^118 The gray image is a code over GF(2) with n=178, k=12 and d=76. This code was found by Heurico 1.16 in 4.86 seconds.