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 X 0 X X 0 0 1 1 1 X X 1 2 X 1 1 2 2 X 1 1 1 1 X X 0 1 0 X 1 X 2 0 X 0 X 0 0 X X+2 0 2 X 0 X+2 2 X+2 X X+2 0 0 X X 2 0 X 0 2 X+2 X X+2 2 X 2 X+2 X+2 X+2 X+2 X 2 X X 0 X+2 X 2 X+2 0 X+2 2 2 X 0 X X+2 X X 0 0 0 0 0 X X 0 X+2 X 0 0 X X 2 2 X+2 X 2 0 0 0 X X X X+2 0 2 X 0 0 0 X 0 X 0 2 X+2 0 X+2 2 X+2 X+2 2 X X+2 X X+2 0 X X 2 X X+2 2 0 0 X+2 X X 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 2 2 0 2 2 2 0 2 2 2 0 0 0 0 2 2 2 0 2 2 2 0 0 0 0 0 2 0 2 0 2 2 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 2 2 2 0 0 2 2 2 2 2 2 0 0 2 0 0 2 2 0 2 0 0 0 2 0 0 2 0 0 0 2 2 0 2 2 2 0 0 2 2 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 2 2 2 0 2 2 2 2 0 0 2 0 0 2 0 2 2 0 0 0 2 2 0 2 2 2 0 0 2 0 2 0 0 2 0 2 2 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 2 2 2 2 2 2 0 0 2 2 2 0 2 0 0 2 2 0 0 0 2 0 2 0 2 0 2 0 2 2 0 2 2 0 0 0 0 2 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 2 2 0 0 0 2 0 2 0 2 0 2 0 0 0 0 2 2 2 2 0 2 0 0 0 2 0 0 2 2 0 0 2 0 0 0 2 2 0 2 0 0 2 2 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 0 2 2 0 0 0 2 0 2 2 0 2 2 2 2 2 0 2 2 2 0 2 2 2 0 2 2 0 2 0 0 0 0 2 0 0 2 2 2 0 2 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+126x^48+20x^49+244x^50+108x^51+466x^52+312x^53+432x^54+668x^55+616x^56+928x^57+452x^58+928x^59+538x^60+712x^61+444x^62+320x^63+377x^64+76x^65+184x^66+20x^67+138x^68+36x^70+4x^71+32x^72+10x^76 The gray image is a code over GF(2) with n=232, k=13 and d=96. This code was found by Heurico 1.16 in 5.21 seconds.