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 X 0 2 X X 1 0 2 1 1 1 0 1 X 1 1 1 X X 0 X 2 1 X X 2 1 1 1 X 1 2 1 1 0 X 0 X 0 0 X X+2 0 2 X 0 X+2 2 X+2 X+2 0 2 X 2 X 0 X+2 X+2 X X X X X+2 X+2 X X X 2 0 X+2 X X+2 X 2 2 0 0 X 0 2 X X 0 0 2 0 X 0 0 0 X 2 0 0 0 X X 0 X+2 X 0 0 X X 2 2 X+2 X 0 2 X X X+2 0 0 2 X 0 X 2 X 2 2 X+2 0 X 0 X+2 X+2 2 X+2 X+2 2 0 X X+2 X+2 X X+2 X+2 0 X X+2 X 2 0 X+2 X X+2 0 X 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 2 2 2 0 2 0 0 0 2 2 0 2 0 2 2 2 2 2 0 2 0 0 2 0 0 0 2 2 2 0 0 2 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 2 2 0 0 0 2 2 0 2 0 2 2 0 2 2 2 0 2 0 2 0 2 2 0 0 2 0 0 2 2 0 2 2 2 2 2 0 2 2 2 2 0 2 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 2 2 2 2 2 0 2 0 2 2 0 2 2 0 2 2 0 0 0 2 0 2 0 0 2 0 2 0 0 0 2 2 2 0 0 2 2 0 0 0 0 2 2 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 2 2 2 2 0 2 2 0 0 2 2 0 2 2 0 2 2 0 2 0 0 0 2 2 2 0 2 2 0 0 2 0 0 2 0 0 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 0 0 2 2 0 2 2 0 0 2 2 2 2 0 0 2 2 0 2 0 2 2 0 0 0 0 2 2 2 2 0 2 0 2 0 2 0 2 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 2 2 2 0 0 0 2 2 0 0 2 2 2 0 2 2 0 0 0 2 2 0 0 2 0 2 0 2 0 0 2 0 2 0 0 0 2 2 2 0 2 0 generates a code of length 59 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 48. Homogenous weight enumerator: w(x)=1x^0+31x^48+68x^49+105x^50+170x^51+188x^52+300x^53+403x^54+462x^55+592x^56+650x^57+735x^58+776x^59+836x^60+684x^61+561x^62+496x^63+279x^64+268x^65+187x^66+126x^67+88x^68+72x^69+41x^70+18x^71+24x^72+6x^73+13x^74+8x^76+3x^78+1x^80 The gray image is a code over GF(2) with n=236, k=13 and d=96. This code was found by Heurico 1.16 in 5.12 seconds.