The generator matrix 1 0 0 1 1 1 X+2 1 1 X 1 2 1 2 1 1 X 1 X 2 1 1 1 1 2 X+2 X+2 1 1 1 1 0 1 X 0 X 1 1 1 1 1 0 X X 1 1 X+2 X 2 1 0 1 1 0 0 2 0 X+2 1 1 1 X+2 1 1 1 1 1 1 X 1 1 0 0 1 0 1 X 1 1 1 1 1 1 1 X+2 2 X 1 0 1 0 0 1 X+3 1 X+2 X+3 1 3 1 X X X 0 X 3 1 1 X+1 1 X+2 X+2 1 2 1 X+1 X+2 0 X+1 X 1 1 1 1 2 0 1 X+2 0 X+2 X 1 X+2 3 1 X 1 1 1 X+1 1 1 1 0 1 0 X 3 X+3 1 3 3 X+1 2 2 3 1 X+2 3 1 1 X X+2 1 1 1 X+1 X+3 2 0 2 3 1 1 X+2 2 0 0 1 1 X+1 0 X+3 1 X+3 X+2 X 3 X 1 X+1 X+2 1 1 3 X X+2 0 2 3 X+2 1 1 3 2 X+1 0 1 X+1 1 X X+3 X+3 0 X X+3 2 1 1 2 0 1 2 1 3 1 X+3 X 3 0 3 1 2 1 0 X+1 3 X+2 0 X X+1 2 X+2 X 3 3 0 X 2 X+3 1 X+2 X+1 2 0 X+3 X+3 1 0 3 X+1 X+3 X+2 0 0 0 0 X X X+2 0 X+2 X+2 0 X+2 2 2 0 X 2 2 X 2 0 X X+2 0 X 0 2 2 X+2 0 X+2 0 X 0 X X X 2 X 2 0 2 X+2 X X+2 X+2 0 2 X+2 2 2 X+2 2 X+2 X+2 X+2 0 0 X+2 X X 2 X X 2 2 X+2 X 2 0 X 0 X X 2 2 X 0 2 0 X+2 X+2 0 X X 2 X X+2 X 0 0 0 0 2 0 0 0 2 0 0 0 0 0 2 2 2 0 2 2 2 0 0 2 2 0 2 2 0 0 2 2 0 2 2 0 0 2 2 2 2 0 2 0 2 2 0 2 0 0 0 0 0 2 2 2 0 0 0 0 0 2 0 0 2 2 0 2 2 2 2 0 2 0 0 0 2 0 0 0 2 2 0 2 0 2 0 0 0 0 0 0 0 2 0 2 2 2 0 2 2 2 2 0 2 2 2 2 0 2 0 0 0 2 0 2 2 0 0 2 2 2 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 2 2 0 0 2 0 2 2 2 2 2 2 0 2 0 2 2 0 0 0 2 2 0 0 0 2 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 2 2 2 0 2 2 0 0 0 2 2 0 2 0 2 0 0 2 0 0 2 0 0 2 2 0 2 0 2 2 2 2 2 0 2 0 0 2 0 0 0 2 2 2 0 0 0 0 0 2 0 0 0 0 2 2 0 0 2 0 0 0 2 0 2 2 2 0 0 2 2 0 2 0 0 0 generates a code of length 88 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+64x^78+254x^79+354x^80+658x^81+638x^82+1002x^83+936x^84+1388x^85+1095x^86+1584x^87+1122x^88+1278x^89+1099x^90+1170x^91+839x^92+858x^93+567x^94+610x^95+266x^96+244x^97+105x^98+102x^99+39x^100+42x^101+10x^102+8x^103+21x^104+12x^105+2x^106+6x^107+6x^108+4x^110 The gray image is a code over GF(2) with n=352, k=14 and d=156. This code was found by Heurico 1.16 in 18.4 seconds.