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 X 0 1 X 0 1 1 1 1 X 0 X 0 1 1 1 1 1 1 1 X X 1 1 1 1 0 1 1 1 X 1 0 1 0 1 1 1 X 1 1 0 1 1 1 1 X X 1 1 1 0 1 1 1 1 2 1 2 1 0 X 1 1 1 0 X 0 X+2 0 X+2 0 X+2 0 X+2 2 X+2 0 X+2 0 X+2 X 2 X 2 0 X+2 2 2 X+2 0 0 2 X+2 X X X X+2 X X+2 X+2 X X+2 0 X+2 0 X+2 X X+2 X 0 2 0 0 X X 2 X+2 X 2 X X+2 2 X X+2 X X+2 X+2 X+2 X X+2 X 0 X X X+2 X+2 0 X 2 0 0 0 X+2 X+2 0 2 X+2 X 2 2 X 2 X X X X X X+2 X 0 X+2 0 0 2 0 0 0 0 0 0 0 2 0 2 0 0 0 0 2 0 0 0 0 0 2 0 2 2 2 0 0 0 0 0 2 2 0 2 0 0 2 2 0 0 2 2 2 0 2 0 0 2 0 0 2 2 2 2 0 0 0 0 2 2 2 0 0 0 2 0 0 2 2 0 2 2 2 0 2 2 0 2 0 2 0 0 2 2 0 2 2 2 2 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 0 2 0 2 2 2 2 2 2 0 0 2 0 0 0 2 2 2 2 0 2 0 2 2 0 0 2 2 2 2 0 0 2 0 2 2 0 2 0 2 0 2 2 0 2 0 2 2 2 2 0 0 2 0 2 0 0 2 0 2 2 2 0 0 2 2 0 0 0 0 0 0 2 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 2 0 2 2 2 2 2 2 2 0 0 2 2 2 2 0 2 2 2 2 0 2 0 2 2 2 0 2 0 0 2 0 2 2 2 2 2 2 0 2 2 2 0 0 2 0 2 0 0 2 0 2 2 2 2 0 2 2 2 0 0 0 2 0 0 0 0 0 2 0 0 0 0 2 2 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 0 0 2 0 2 2 2 2 0 2 2 2 2 0 0 0 2 2 0 2 2 2 2 2 2 0 2 0 2 0 2 0 2 0 2 2 2 0 0 0 0 0 2 0 0 0 0 2 2 2 2 0 0 2 2 2 2 2 0 2 2 2 2 0 0 0 0 0 0 0 2 2 0 0 2 0 0 2 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 2 0 0 0 0 2 2 2 0 0 2 2 2 2 2 2 2 2 2 0 2 2 2 2 2 2 2 2 0 2 2 2 2 0 2 0 2 0 2 2 2 2 2 0 2 2 0 2 2 0 0 2 0 0 0 0 2 0 2 2 0 0 0 0 2 2 0 2 0 0 2 0 2 0 2 0 2 0 0 2 2 0 2 0 0 0 0 0 0 0 2 0 0 0 2 0 0 2 2 0 2 2 0 0 2 2 0 2 0 2 0 2 2 0 0 0 2 0 0 2 2 0 0 2 2 0 2 0 2 2 2 2 0 0 0 0 2 0 0 2 0 2 2 2 2 0 0 0 2 2 2 0 2 2 2 0 2 2 2 0 0 0 0 2 0 0 0 0 2 0 2 0 0 2 0 0 0 2 2 2 0 0 0 0 0 0 0 0 2 0 2 0 2 0 2 2 2 0 0 0 2 0 2 2 0 0 0 2 2 0 2 0 2 0 2 0 2 2 0 0 2 2 0 2 0 0 2 2 0 2 0 2 2 0 2 2 0 2 2 0 0 2 2 2 0 0 0 2 2 0 0 0 0 0 0 2 0 2 0 2 0 2 0 0 0 2 2 2 0 2 2 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 2 0 2 2 2 0 0 2 2 0 2 0 2 0 0 0 2 2 2 0 2 2 0 0 0 2 2 0 2 0 2 0 0 0 0 0 0 2 2 0 2 0 2 2 2 2 0 2 2 0 0 2 0 0 0 2 2 2 0 0 0 0 2 2 2 0 2 0 0 0 2 0 2 2 2 0 0 2 2 0 0 0 0 generates a code of length 97 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 84. Homogenous weight enumerator: w(x)=1x^0+102x^84+82x^86+380x^88+40x^89+286x^90+128x^91+658x^92+224x^93+714x^94+384x^95+952x^96+496x^97+788x^98+384x^99+827x^100+224x^101+494x^102+128x^103+378x^104+40x^105+190x^106+168x^108+6x^110+65x^112+32x^116+16x^120+4x^124+1x^148 The gray image is a code over GF(2) with n=388, k=13 and d=168. This code was found by Heurico 1.16 in 11.6 seconds.