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 X X X X X X X 1 X 1 X X X X 1 1 2 1 1 1 1 X X 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 2 0 2 0 2 0 0 2 0 0 2 2 2 2 0 0 0 0 0 0 0 2 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 2 0 2 0 0 2 2 2 0 0 2 0 0 0 0 2 0 0 2 2 0 2 2 0 0 0 2 2 2 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 2 2 2 2 0 2 0 0 2 2 2 0 2 0 2 2 2 0 0 0 2 0 2 2 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 0 2 0 0 0 2 0 0 0 0 0 2 2 2 0 2 0 2 0 0 0 0 2 2 2 2 2 2 2 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 2 0 2 0 2 2 2 2 0 0 2 0 2 0 0 0 0 2 0 2 2 0 2 2 0 0 2 2 2 2 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 2 0 2 2 2 0 2 0 0 2 0 0 0 0 2 2 2 0 2 2 2 2 0 2 0 2 0 2 2 2 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 0 2 0 0 0 0 2 2 2 0 0 2 0 2 0 0 2 0 2 2 0 2 2 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 2 0 2 2 2 0 2 2 2 2 0 2 0 0 2 2 2 2 0 2 2 0 2 2 2 0 0 2 0 2 2 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 0 2 2 0 0 0 0 2 2 2 2 0 2 2 0 2 2 2 0 0 2 0 0 0 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 2 0 0 0 2 0 0 0 0 2 2 2 2 0 2 0 2 0 2 2 0 2 2 2 2 0 2 2 2 0 0 generates a code of length 73 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 58. Homogenous weight enumerator: w(x)=1x^0+52x^58+82x^60+135x^62+179x^64+239x^66+382x^68+454x^70+2567x^72+2615x^74+514x^76+320x^78+209x^80+173x^82+93x^84+74x^86+49x^88+25x^90+16x^92+9x^94+3x^96+1x^116 The gray image is a code over GF(2) with n=292, k=13 and d=116. This code was found by Heurico 1.16 in 8.44 seconds.