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 X X 0 X 1 X 1 1 X 2 X 1 0 1 X 1 1 1 1 2 2 1 1 2 1 1 0 X 1 2 1 1 0 X 0 X 0 0 X X+2 0 2 X+2 X 0 X X 2 2 X+2 0 X X+2 0 X 2 X X 2 X+2 0 0 2 X+2 X+2 2 X+2 X X X 2 X X 0 2 X X+2 0 X X X X+2 X 0 2 X X+2 2 X X+2 0 0 0 X X 0 X+2 X 0 2 X 0 X 0 X+2 2 X X 2 0 X+2 X+2 X 2 0 2 X X 0 X+2 X X X+2 0 2 0 X X+2 X+2 2 0 X+2 X X+2 X 0 X+2 X+2 X+2 X 0 X+2 2 X 0 X X 0 X+2 0 0 0 0 2 0 0 0 0 2 2 2 2 2 0 2 0 0 0 0 2 0 2 0 2 0 2 0 2 0 0 2 0 2 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 2 0 0 2 0 0 0 2 0 0 0 0 2 0 0 0 0 0 0 2 2 2 0 0 0 0 0 2 2 2 2 0 2 0 2 0 2 2 0 0 2 0 2 2 2 2 2 2 0 2 0 2 0 0 2 0 0 0 2 2 0 2 2 2 2 0 0 0 0 0 0 0 2 0 0 0 2 0 0 2 2 2 2 2 2 2 0 2 0 0 0 2 2 2 0 0 0 0 2 0 0 2 0 2 0 0 0 0 0 2 2 0 0 2 2 0 2 2 0 0 2 2 0 0 0 2 0 0 0 0 0 0 2 0 2 2 2 2 2 0 2 2 2 2 2 2 2 0 0 2 0 0 0 0 2 0 0 0 0 2 2 2 2 0 2 0 2 0 0 0 2 0 2 0 2 0 2 0 0 2 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 2 0 2 2 0 0 2 0 0 2 2 0 0 2 2 2 2 2 0 0 0 0 0 2 2 2 0 2 2 2 2 0 2 2 2 2 0 0 2 0 0 0 2 2 2 generates a code of length 59 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 50. Homogenous weight enumerator: w(x)=1x^0+33x^50+72x^51+126x^52+132x^53+213x^54+244x^55+314x^56+398x^57+367x^58+422x^59+395x^60+346x^61+281x^62+230x^63+128x^64+118x^65+88x^66+42x^67+52x^68+26x^69+32x^70+14x^71+4x^72+4x^73+7x^74+3x^76+1x^78+1x^80+1x^82+1x^86 The gray image is a code over GF(2) with n=236, k=12 and d=100. This code was found by Heurico 1.16 in 1.2 seconds.