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 2 X 1 2 X 2 X 1 X 2 1 1 X 1 0 X 1 1 1 1 1 X 1 1 1 X 1 1 1 1 0 X X 1 1 2 1 X 1 0 1 X 1 1 2 1 X 1 X 1 X 2 1 0 X 0 0 0 0 0 0 2 2 X X+2 X 0 0 2 X+2 X+2 X X X X 0 X X+2 X 0 X X+2 2 X+2 2 2 X+2 X 0 0 X 2 0 X X 2 X X X X 0 0 2 2 X 2 0 X+2 X X+2 0 X+2 2 0 2 X 2 X+2 0 0 2 X 2 X 2 X+2 X+2 X+2 X+2 0 0 0 2 0 X+2 0 X X 0 X 2 2 X+2 X X 0 X 0 0 X 0 0 0 0 0 0 0 0 0 2 X+2 X+2 X+2 X X+2 X+2 X 2 2 X+2 X+2 0 0 X X X X+2 X+2 X+2 2 2 X+2 X X 2 2 X 0 2 2 0 X+2 0 X+2 X+2 2 0 2 0 X X 0 X X+2 X X 2 X+2 0 2 X X+2 X+2 X+2 0 X 2 X X 0 0 X X X X 2 X+2 2 0 0 0 X X X 0 X+2 0 2 X+2 2 0 0 0 0 X 0 0 2 X+2 X X X X 2 X+2 X 2 2 0 2 2 2 2 2 X X+2 X 2 X X+2 X+2 X X+2 0 2 0 0 0 X+2 X+2 X 0 X+2 X 2 X 2 0 X+2 X X X 0 2 0 X X+2 X X X 2 2 2 X+2 0 X+2 X X X+2 2 X+2 0 X X X X 2 X+2 X X X X 0 0 X X 2 X+2 2 0 X+2 X X 0 X+2 0 0 0 0 X 0 X+2 X+2 X 2 X+2 X+2 0 X X 0 2 X 0 X+2 X+2 X X+2 X 2 2 X 2 2 0 X+2 2 0 X+2 X X+2 2 0 X+2 X X X+2 2 2 0 0 2 X 0 2 X+2 0 X+2 X 0 X X+2 0 X X+2 2 X+2 0 X 0 X+2 X X+2 0 2 X+2 0 X 0 2 2 X+2 X X X X+2 0 X X 0 X+2 X+2 X X+2 X 0 2 X X 0 0 0 0 0 X X 2 X+2 X X+2 2 X X 0 X 0 X+2 X+2 0 X 2 2 X+2 2 X X+2 X+2 2 X 2 2 X+2 0 X X+2 0 0 0 X X+2 X+2 X 0 X X 0 0 0 0 2 X X+2 2 X X+2 0 X+2 0 0 X+2 X+2 2 2 X+2 2 2 X X+2 2 0 0 X X X 2 X 0 X 0 X X X X+2 0 X+2 0 2 0 0 X X+2 X 2 generates a code of length 94 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 83. Homogenous weight enumerator: w(x)=1x^0+58x^83+134x^84+178x^85+268x^86+266x^87+367x^88+416x^89+464x^90+586x^91+512x^92+648x^93+640x^94+616x^95+639x^96+498x^97+374x^98+346x^99+307x^100+176x^101+184x^102+122x^103+82x^104+92x^105+65x^106+42x^107+23x^108+28x^109+16x^110+12x^111+15x^112+10x^113+4x^114+2x^117+1x^138 The gray image is a code over GF(2) with n=376, k=13 and d=166. This code was found by Heurico 1.16 in 9.29 seconds.