The generator matrix 1 0 1 1 1 X+2 1 1 2 1 X 1 1 1 0 X+2 1 1 1 X 1 1 0 1 1 2 1 1 1 1 X+2 1 0 1 0 1 1 1 1 2 1 1 X 1 1 1 X X+2 X+2 1 X 1 1 X+2 2 1 X X 1 X 0 0 1 0 2 1 1 X 1 0 1 1 0 X+3 1 X X+1 1 3 1 X+2 0 X+3 1 1 1 X+2 2 1 3 X 1 X+3 X+1 1 0 X+1 X+2 X+3 1 0 1 2 1 X+1 X X+2 2 1 X+3 1 1 1 0 X+3 1 1 1 X+2 1 1 X+2 1 1 X 1 1 1 0 1 1 2 1 0 X+3 X 2 0 0 0 X 0 X+2 0 0 X 0 X+2 0 0 X 2 X X+2 0 X X X+2 2 X 2 0 2 X+2 2 X+2 X X+2 X+2 2 0 X+2 2 2 2 2 0 X+2 X+2 0 X X 2 2 X+2 X 0 0 X+2 X+2 X+2 2 0 0 0 2 X 2 0 X+2 0 X+2 X 0 0 2 0 0 0 0 X 0 0 X X X X X+2 2 X X+2 X X X+2 X 2 0 2 0 X X+2 0 2 2 X X 2 X 2 X 0 0 X X 2 X+2 0 0 X+2 2 X X 0 X+2 0 X X X 2 X+2 X 0 2 2 0 2 X+2 X X+2 X X+2 0 X X+2 X+2 0 0 0 0 0 2 0 0 0 0 0 2 2 2 0 0 2 2 2 0 0 0 2 0 2 2 2 2 2 0 0 2 2 0 0 0 0 0 0 2 0 2 2 2 0 2 0 0 2 2 0 0 2 0 2 2 2 2 0 0 0 0 0 0 2 0 0 2 2 0 0 0 0 0 0 2 0 0 2 2 2 0 0 0 2 0 0 2 2 0 2 0 0 0 0 0 0 2 2 0 2 2 0 0 2 0 0 2 2 0 2 2 0 2 2 2 0 2 2 0 2 2 0 2 0 0 2 0 0 0 2 0 2 2 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 0 2 0 2 2 2 2 2 2 0 0 2 0 0 2 0 2 0 2 0 2 0 2 2 0 2 0 2 0 2 2 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 0 2 2 2 2 2 2 2 2 2 2 0 0 0 0 2 2 0 0 2 0 2 2 2 0 2 2 0 0 2 2 2 0 0 2 0 2 0 2 0 0 0 0 0 2 2 0 2 0 0 0 2 0 0 0 2 2 0 generates a code of length 69 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 58. Homogenous weight enumerator: w(x)=1x^0+38x^58+56x^59+187x^60+328x^61+316x^62+816x^63+603x^64+1218x^65+906x^66+1756x^67+1048x^68+2012x^69+1110x^70+1686x^71+852x^72+1230x^73+533x^74+686x^75+285x^76+290x^77+131x^78+114x^79+78x^80+40x^81+34x^82+6x^83+16x^84+2x^85+2x^86+2x^88+1x^90+1x^94 The gray image is a code over GF(2) with n=276, k=14 and d=116. This code was found by Heurico 1.16 in 16.5 seconds.