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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X X X X X X X X 2 X 1 1 1 2 X 1 1 X 1 1 1 1 X X X 1 1 X 1 1 X 1 1 X 1 1 2 1 1 1 1 1 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 2 0 2 2 2 2 0 2 0 0 0 2 2 2 0 2 2 2 0 0 2 0 0 0 0 2 2 2 0 0 0 2 2 0 0 2 2 2 0 2 0 2 2 0 0 0 0 2 0 0 0 0 2 2 2 2 0 0 2 0 0 0 0 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 2 0 0 0 2 0 0 0 2 2 2 0 0 0 2 2 2 0 2 2 0 0 2 2 2 0 0 2 0 2 2 0 2 2 0 0 2 0 2 2 0 2 0 2 0 0 2 2 0 0 0 2 2 2 0 2 2 2 2 0 2 0 2 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 2 0 0 0 0 2 0 2 2 2 0 2 0 0 2 2 0 0 0 2 2 2 0 2 0 2 0 2 2 2 0 2 0 0 0 0 2 2 0 2 2 0 0 0 2 2 0 0 0 0 2 0 2 2 2 0 0 0 0 0 2 0 0 2 2 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 0 2 2 2 0 0 0 2 2 2 2 2 0 2 2 0 0 0 2 0 0 0 0 2 2 0 0 0 0 2 2 2 0 0 2 0 0 0 2 2 0 2 0 0 0 0 2 2 2 0 0 2 2 2 2 2 2 2 2 0 2 0 2 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 0 2 2 2 2 0 0 2 2 0 0 0 2 0 2 0 0 0 0 2 2 0 2 2 0 2 0 0 2 0 0 0 2 0 2 2 0 2 2 2 0 0 2 2 0 2 0 0 0 2 0 2 2 2 2 2 2 2 2 0 2 2 0 0 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 2 2 2 0 2 2 0 2 0 2 0 0 2 0 0 2 2 2 0 0 0 0 2 0 0 0 2 2 2 2 0 0 2 2 0 0 2 2 2 2 0 0 0 0 0 0 0 2 2 2 2 0 0 0 0 0 2 2 2 2 2 2 0 2 2 0 0 0 2 2 0 0 2 0 0 0 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 2 0 0 2 0 2 2 2 2 0 0 0 2 2 2 2 2 0 0 0 0 2 2 2 2 2 0 2 0 0 0 0 2 0 2 0 0 0 0 2 2 2 0 0 2 0 2 2 2 0 0 0 0 0 2 2 0 0 0 0 2 2 0 0 2 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 0 0 0 0 2 2 2 0 0 2 2 0 2 2 2 2 0 0 0 2 2 2 2 0 2 2 2 2 0 2 0 2 2 2 0 0 2 0 2 0 2 0 2 0 2 2 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 2 0 2 0 2 0 0 0 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 0 2 0 2 2 0 0 2 2 0 2 2 0 0 0 0 2 0 0 0 2 0 2 2 0 0 2 2 2 0 2 0 2 0 0 0 2 2 0 2 0 2 2 2 0 2 2 0 0 2 0 2 0 0 2 0 0 0 0 0 0 2 0 2 0 2 2 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 0 2 0 0 0 0 0 2 0 2 0 0 2 0 2 2 0 0 0 2 0 0 2 0 0 0 2 0 2 2 0 2 0 0 0 0 2 2 0 2 2 0 0 2 0 0 0 2 2 2 2 0 0 2 2 2 0 2 2 0 0 0 0 0 2 0 2 2 0 generates a code of length 93 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 76. Homogenous weight enumerator: w(x)=1x^0+50x^76+39x^78+131x^80+4x^81+103x^82+38x^83+184x^84+84x^85+134x^86+152x^87+154x^88+256x^89+671x^90+310x^91+1657x^92+344x^93+1658x^94+336x^95+639x^96+244x^97+140x^98+162x^99+102x^100+84x^101+133x^102+24x^103+95x^104+8x^105+97x^106+2x^107+35x^108+57x^110+19x^112+26x^114+4x^116+11x^118+1x^120+2x^122+1x^146 The gray image is a code over GF(2) with n=372, k=13 and d=152. This code was found by Heurico 1.16 in 12.1 seconds.