The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 0 1 1 X 0 1 X 0 1 1 1 1 1 1 X 1 0 1 X 1 1 0 X 0 0 X 1 1 1 1 1 1 2 0 X 1 0 X 0 X+2 0 X+2 0 X+2 0 X+2 2 X+2 0 X+2 X 0 2 0 0 2 X+2 X+2 X X X+2 X+2 X X X+2 X X+2 X+2 X+2 X+2 X 0 X+2 0 X 2 X+2 X+2 2 X X+2 X X X+2 X 0 X 0 2 X+2 2 X 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 0 0 0 0 0 2 0 2 0 2 2 0 2 0 0 2 0 2 2 0 0 2 2 2 2 2 0 2 0 2 2 0 2 0 0 0 0 2 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 2 0 0 0 0 0 0 0 2 2 0 2 0 2 0 2 2 0 2 0 2 2 0 2 2 2 0 2 2 0 0 2 0 0 2 0 2 2 2 2 2 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 0 2 0 0 0 0 2 0 0 2 2 2 2 0 2 2 0 0 2 2 0 2 2 0 2 0 0 0 0 2 2 0 2 0 2 2 0 0 0 0 0 0 0 2 0 0 0 2 0 2 0 0 2 0 0 2 2 2 0 2 2 0 2 2 2 0 0 2 0 0 2 2 2 0 0 0 0 0 2 0 0 0 0 2 0 2 0 0 2 0 2 2 2 2 2 2 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 2 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 2 2 2 2 0 2 0 2 0 2 2 0 0 2 2 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 2 0 2 0 0 0 2 2 2 2 2 0 0 2 2 2 2 0 0 0 0 0 2 0 2 2 0 0 0 0 2 2 0 2 2 2 2 0 0 0 0 2 2 0 0 2 2 0 0 2 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 0 2 0 2 2 2 0 0 2 2 2 0 0 0 0 2 2 0 0 0 0 0 2 2 2 0 2 2 0 0 0 2 2 2 2 2 0 0 2 2 2 2 0 0 generates a code of length 58 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 48. Homogenous weight enumerator: w(x)=1x^0+45x^48+28x^49+98x^50+100x^51+118x^52+182x^53+219x^54+308x^55+374x^56+404x^57+417x^58+396x^59+319x^60+328x^61+199x^62+188x^63+110x^64+80x^65+69x^66+32x^67+40x^68+2x^69+13x^70+12x^72+7x^74+3x^76+1x^78+2x^80+1x^82 The gray image is a code over GF(2) with n=232, k=12 and d=96. This code was found by Heurico 1.16 in 1.3 seconds.