The generator matrix 1 0 1 1 1 X+2 1 1 0 1 X 1 2 1 1 1 1 0 1 1 X+2 1 1 X 1 1 X 1 1 1 0 1 1 X+2 2 1 1 X+2 2 1 1 1 X+2 X 1 1 1 1 X+2 1 2 0 X X+2 0 1 1 1 2 1 X+2 2 0 1 1 1 1 1 1 0 1 1 X+2 X+3 1 0 X+1 1 X 1 3 1 0 X+3 2 X+3 1 X 1 1 X 3 1 X+1 1 1 X 3 0 1 2 3 1 1 X+2 0 1 1 X+1 X+3 2 1 1 X+2 0 X+2 3 1 3 1 1 1 1 X X+2 0 X+2 1 X+2 1 X 0 X+3 X 2 X+1 X+1 0 0 0 X 0 X+2 0 X+2 0 X+2 X+2 X 2 X 2 X X 2 2 X X 0 2 2 X X X 2 X+2 X 2 2 X 0 2 X+2 2 2 X+2 X+2 2 X+2 X X+2 X+2 2 2 X 0 2 2 X 2 0 X+2 X+2 X X+2 0 2 0 0 X+2 X 0 X+2 X 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 2 2 0 2 0 2 2 2 0 0 0 0 2 2 0 2 0 2 2 0 2 2 0 2 0 2 0 0 0 2 2 2 2 0 2 0 2 0 0 2 0 0 2 2 0 0 2 0 2 0 0 2 0 0 0 2 0 0 0 0 0 2 0 0 0 0 2 2 0 2 0 0 0 2 2 2 2 2 0 2 2 2 0 2 0 0 2 2 0 2 0 2 2 2 0 2 0 0 2 2 0 2 2 2 0 2 2 0 0 2 0 0 2 0 2 0 0 0 2 2 2 0 2 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 2 2 2 2 0 2 0 0 2 2 0 0 2 0 0 0 2 0 2 2 2 2 2 0 0 0 2 0 2 0 2 0 2 2 2 2 0 0 2 2 2 0 0 2 0 2 2 0 0 0 2 0 0 2 2 2 0 0 0 0 0 0 2 0 0 2 0 0 0 0 0 2 0 0 0 2 2 2 2 2 2 2 0 2 0 2 2 2 2 0 0 0 0 2 2 0 0 2 0 2 2 2 0 2 2 0 2 2 0 0 0 2 2 0 0 2 2 0 0 0 2 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 2 0 2 2 2 2 2 0 0 0 2 2 2 0 0 0 2 2 2 2 2 0 0 0 2 2 2 0 2 2 0 2 0 0 2 0 0 2 2 2 0 0 0 0 0 0 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 2 0 0 0 0 0 2 2 2 2 2 0 2 2 0 0 0 2 0 2 0 2 0 2 2 2 2 0 2 0 0 0 2 0 0 0 2 2 2 0 0 2 0 0 0 0 2 0 2 2 0 2 2 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+46x^58+58x^59+190x^60+322x^61+391x^62+572x^63+765x^64+916x^65+1187x^66+1436x^67+1568x^68+1620x^69+1494x^70+1428x^71+1209x^72+948x^73+799x^74+510x^75+279x^76+262x^77+140x^78+80x^79+52x^80+24x^81+29x^82+12x^83+26x^84+4x^85+6x^86+5x^88+3x^90+1x^92+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.