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 X 2 X X 2 1 X 1 X 0 1 0 1 1 1 X 2 X 1 2 1 1 2 X 0 1 X 2 1 X 1 X 1 1 1 1 2 X 1 1 1 1 1 X 1 X 1 0 X 0 0 0 0 0 0 0 X+2 X X X X X+2 X+2 X 2 X 0 X 2 0 X+2 X 2 2 X 2 2 X X 2 X+2 X+2 X X X 0 2 0 0 X 2 0 X X X+2 2 0 0 X+2 0 2 X+2 X+2 2 X X 2 X 2 X+2 2 X X X X+2 X 2 X+2 0 0 X 0 2 2 X X 0 0 X X 2 2 2 2 X+2 0 0 X 0 0 0 X X+2 X 2 X X+2 0 0 X X+2 2 2 2 X 2 X 2 X X+2 X+2 0 X 0 X X 0 2 X 2 X+2 2 2 X+2 2 X X 2 0 X 2 X X+2 X+2 2 X X 0 X+2 2 X+2 X X X+2 2 X X 2 X X+2 X+2 X+2 2 0 X 2 2 0 X+2 2 X 0 X+2 0 X+2 X+2 X+2 X 2 X+2 2 X+2 0 0 0 0 X 0 X X X 0 X+2 2 X X+2 0 0 X+2 X+2 X+2 X X+2 0 2 2 X 0 0 X 0 0 X X 0 2 X+2 0 X 0 X 2 X X+2 2 X X 2 2 2 0 2 X+2 X+2 0 X X+2 X X X 0 0 X 2 X+2 X X X+2 X X+2 0 X+2 X+2 2 2 2 X+2 X+2 2 X 0 2 2 X+2 X+2 2 X X+2 X+2 X X 0 0 0 0 X X 0 X X+2 X 0 X 2 X+2 X 2 2 0 X+2 X 2 0 2 X 0 X X X X+2 2 0 X+2 2 0 0 X+2 X X+2 2 X+2 X X 2 2 X+2 X X+2 X+2 X+2 X X+2 2 2 0 2 X+2 2 X X 2 2 0 X+2 X 2 2 0 0 X+2 2 X+2 X+2 X+2 0 X+2 X+2 X+2 0 X X+2 0 X+2 2 X+2 0 2 0 X 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 2 2 2 2 2 2 2 0 2 0 2 0 0 2 0 0 2 2 0 2 2 2 0 0 2 2 2 2 2 2 0 2 2 2 2 2 0 2 2 0 0 0 0 0 2 2 0 0 2 2 2 0 0 2 0 0 2 0 2 0 2 0 2 2 2 2 2 0 0 0 0 0 0 2 0 2 0 2 2 2 2 2 2 0 2 2 2 2 2 2 0 0 0 2 0 2 0 0 0 2 2 2 0 2 2 0 0 2 2 0 0 2 0 2 2 2 0 0 0 2 2 0 2 2 0 0 0 0 0 0 0 0 2 0 2 0 0 2 0 0 0 2 2 0 0 0 0 0 0 2 2 0 2 2 0 generates a code of length 88 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 77. Homogenous weight enumerator: w(x)=1x^0+54x^77+128x^78+174x^79+232x^80+290x^81+311x^82+402x^83+463x^84+528x^85+643x^86+668x^87+693x^88+650x^89+563x^90+510x^91+430x^92+340x^93+271x^94+190x^95+141x^96+128x^97+98x^98+72x^99+76x^100+54x^101+26x^102+22x^103+8x^104+4x^105+8x^106+8x^107+3x^108+2x^111+1x^128 The gray image is a code over GF(2) with n=352, k=13 and d=154. This code was found by Heurico 1.16 in 8.38 seconds.