The generator matrix 1 0 0 0 0 1 1 1 1 1 1 2 1 X 2 2 X+2 1 X 1 1 1 X+2 X 1 1 1 2 X+2 1 X 1 2 0 1 X+2 1 X 1 0 X+2 1 X 1 1 1 2 1 1 X+2 0 1 1 X+2 X 2 1 2 1 1 1 X X+2 1 1 0 1 1 2 X 1 X X+2 1 X 1 X+2 1 1 0 1 0 0 0 0 2 2 0 3 1 1 X+3 1 1 X X+2 X+2 1 1 X+1 X+3 1 2 X+2 X+3 0 X+2 1 3 1 3 1 1 X+1 X 2 X X 1 1 X X+2 X+3 2 3 2 3 0 X X+2 3 1 2 X 1 X 1 2 X+2 1 1 1 X+2 1 1 0 X 0 1 2 1 X+2 0 1 X+3 1 0 0 0 0 1 0 0 0 3 X+1 1 1 X+3 X 2 3 3 1 1 X+1 X+1 0 1 X+2 X+1 1 X+2 3 X+2 2 X X+2 0 X+3 X+2 1 X+3 1 0 1 X+2 1 3 1 2 X X+1 X+2 1 0 3 1 2 X 2 X 1 0 X X X+1 3 X X+3 0 X+2 X+3 1 3 0 1 X+2 X 0 1 X 0 X+2 3 3 2 0 0 0 1 0 1 1 X X X+2 X+3 1 3 0 X+1 1 X X+3 1 3 0 X+2 X+2 3 1 X+3 0 1 X+2 0 3 3 X+2 X X+3 0 X+1 1 2 0 1 2 0 X+2 X+1 1 0 2 0 X+3 1 2 X+2 1 0 X+1 X+1 X X X+1 3 X+1 X+3 3 1 X+3 X+2 2 X+2 X+2 3 X+3 3 2 X+1 X 0 0 X 0 0 0 0 1 1 2 0 X+1 2 X+3 X+3 1 X+3 X+1 X 3 1 X+2 X+2 X+3 X+1 0 3 0 0 X+1 X+1 X+3 2 X 0 3 X+2 1 2 1 1 3 X+3 1 2 1 X+3 X+2 X+1 3 X+2 X+3 X 2 1 2 X+1 X+1 X+3 X+1 2 2 3 X 0 0 X X 0 1 X 1 X 3 X+1 1 X 1 3 3 3 0 0 0 0 0 0 X 0 0 0 0 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 2 X X X X+2 X+2 X+2 X X X+2 X+2 X+2 X+2 X X+2 X+2 X+2 X+2 2 X X+2 X+2 X X+2 X+2 X X X 2 X+2 2 X 2 X+2 X X+2 2 X X X 0 2 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+134x^67+561x^68+1012x^69+1857x^70+2456x^71+4085x^72+4724x^73+6657x^74+7356x^75+9737x^76+9594x^77+11463x^78+10528x^79+12211x^80+10182x^81+10219x^82+7484x^83+6860x^84+4586x^85+3770x^86+2220x^87+1492x^88+786x^89+486x^90+256x^91+174x^92+80x^93+42x^94+28x^95+15x^96+12x^97+2x^98+2x^99 The gray image is a code over GF(2) with n=316, k=17 and d=134. This code was found by Heurico 1.13 in 399 seconds.