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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 2 2 0 X X X X 0 0 2 2 2 2 1 1 2 X 2 1 2 X 2 1 1 0 2 2 1 1 0 1 X 0 X 0 0 0 0 0 0 0 0 2 X X X+2 0 X+2 X+2 0 2 X X+2 2 X X X 2 X 0 X 2 X+2 X X+2 0 2 0 2 2 X X+2 X X 2 0 0 X+2 0 2 0 2 X+2 X X X X X 0 2 X X X 2 0 2 X 0 0 0 2 X 2 X 0 0 X 2 0 0 0 0 0 X 0 0 0 0 0 0 0 X+2 2 X X X X 0 X X 0 X+2 2 0 X+2 X X X+2 X+2 2 0 X+2 0 2 X 0 X+2 X 2 0 2 X+2 X X+2 X 0 X X+2 X X X 0 2 0 2 X X+2 2 X 0 2 2 X 2 X+2 2 0 0 X X 0 2 X 0 X X+2 X+2 X 2 X 0 0 0 X 0 0 0 X X+2 X X X+2 0 X 2 0 X+2 X+2 2 X+2 X+2 X 0 2 0 2 X X X 2 X 0 2 X 2 2 X 2 X 2 X 2 0 0 X+2 X 2 X 0 X+2 2 0 0 X 2 0 X X+2 2 X+2 2 X X X X+2 X X 2 X+2 0 0 2 0 2 X+2 X X+2 0 0 0 0 0 0 X 0 X X X 2 X X X 2 2 X+2 X+2 2 X+2 2 X+2 X X+2 2 2 X 0 X+2 2 X+2 X+2 X X X X+2 X 2 0 0 0 X X X 0 2 0 X X 2 2 X+2 X+2 0 2 0 X X 2 X+2 0 0 X 0 0 X 2 0 0 X+2 0 X+2 2 X 0 0 0 X+2 0 X 0 0 0 0 0 X X 2 X+2 X+2 X X X+2 0 X 2 2 2 X X+2 0 2 2 0 X 0 X 2 2 X+2 X+2 X+2 X+2 X+2 2 X+2 2 2 X+2 X+2 X+2 X+2 2 0 X 0 X X+2 X+2 X+2 X+2 2 2 0 2 0 0 X 0 X+2 2 0 X 0 X+2 0 0 2 2 X 0 X+2 0 X+2 X 0 2 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 0 2 0 0 0 2 2 0 0 0 0 2 2 0 2 2 0 0 0 2 0 2 0 2 2 0 2 2 0 0 2 0 2 0 0 0 2 0 0 2 0 0 0 0 0 2 2 2 2 2 2 0 2 2 0 2 2 2 2 0 2 2 0 2 0 0 generates a code of length 79 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 67. Homogenous weight enumerator: w(x)=1x^0+62x^67+154x^68+242x^69+342x^70+396x^71+490x^72+616x^73+768x^74+966x^75+1022x^76+1098x^77+1317x^78+1498x^79+1361x^80+1186x^81+1082x^82+876x^83+748x^84+574x^85+424x^86+296x^87+232x^88+196x^89+140x^90+110x^91+75x^92+54x^93+21x^94+18x^95+12x^96+2x^97+2x^98+2x^99+1x^108 The gray image is a code over GF(2) with n=316, k=14 and d=134. This code was found by Heurico 1.16 in 26.5 seconds.