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 X 0 X 0 X 1 0 1 1 1 1 1 X 0 X 1 0 1 X 1 1 1 0 1 1 1 0 1 1 X 1 X 0 X 0 X+2 0 X+2 0 X+2 0 X+2 2 X+2 0 X+2 0 2 X+2 X 0 0 X+2 X 2 X+2 X X+2 X X+2 X+2 X 0 X+2 X 0 X X+2 X X+2 X+2 X X+2 X+2 0 X 2 X X X+2 X X 0 X+2 2 X 2 0 0 2 0 0 0 0 0 0 0 2 0 2 0 0 2 0 0 0 2 2 2 2 0 0 0 2 0 2 2 2 2 2 2 0 0 0 2 0 2 0 2 2 0 2 2 2 0 2 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 0 2 2 2 0 2 2 0 0 2 0 2 0 0 0 2 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 2 2 2 2 0 2 0 2 0 2 2 0 0 0 0 0 2 2 0 2 2 0 0 2 2 0 2 0 0 2 2 0 2 0 2 0 2 0 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 2 2 0 0 2 2 0 2 0 2 2 0 0 0 2 2 0 0 2 0 0 2 0 2 0 2 2 0 0 2 2 2 0 0 2 2 2 2 2 0 0 0 0 0 0 2 0 0 0 0 0 2 0 2 0 2 2 2 2 0 2 0 2 2 0 2 0 2 0 0 2 2 2 0 2 2 2 2 2 2 2 0 0 0 0 2 2 0 0 0 0 2 2 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 2 2 2 2 0 2 2 0 0 0 0 0 2 0 2 2 0 0 0 2 2 2 2 0 2 2 0 2 2 2 0 2 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 2 0 2 0 0 0 2 0 2 2 2 2 0 2 0 0 2 2 0 0 0 2 2 0 0 2 2 0 0 2 2 2 0 2 0 2 0 0 0 2 0 2 2 0 0 0 0 0 0 0 0 0 2 0 2 0 0 2 2 2 0 2 0 0 2 2 0 2 0 2 2 2 0 2 2 0 0 0 2 0 0 0 0 0 2 2 2 2 2 2 2 0 0 0 0 2 2 0 generates a code of length 55 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 44. Homogenous weight enumerator: w(x)=1x^0+125x^44+80x^46+379x^48+32x^49+438x^50+192x^51+957x^52+480x^53+1064x^54+640x^55+1285x^56+480x^57+740x^58+192x^59+574x^60+32x^61+216x^62+177x^64+22x^66+69x^68+13x^72+3x^76+1x^80 The gray image is a code over GF(2) with n=220, k=13 and d=88. This code was found by Heurico 1.16 in 5.09 seconds.