The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 2 0 1 2 1 1 2 0 1 1 1 0 0 2 1 1 1 1 2 0 1 1 1 2 1 1 1 0 0 1 2 1 1 0 2 1 1 0 2 2 1 1 2 0 1 1 2 1 0 2 1 1 1 1 2 1 0 1 2 2 1 1 2 1 1 1 1 0 1 1 0 1 1 0 0 1 0 1 0 1 0 1 1 0 0 1 1 1 1 2 3 1 0 2 1 0 1 1 1 0 1 1 0 2 1 1 1 2 0 0 2 1 3 0 3 1 0 3 1 0 0 1 1 3 3 2 2 1 1 2 1 1 3 2 1 0 2 1 2 1 2 1 2 2 1 1 1 1 2 1 1 3 1 0 1 1 1 1 1 0 0 1 1 0 0 0 1 1 1 0 1 0 1 1 0 2 3 1 0 2 0 1 3 1 1 2 3 1 0 1 2 1 0 3 1 1 1 0 2 0 2 1 3 0 1 3 1 2 1 0 2 1 0 1 1 1 3 3 0 1 0 2 1 0 1 1 3 1 2 3 1 0 0 1 1 1 0 3 2 0 3 0 0 1 0 0 0 1 3 2 0 0 0 0 0 2 0 0 0 0 0 0 0 2 2 0 2 2 2 0 2 2 0 0 0 0 2 2 2 0 0 2 0 0 2 0 2 0 2 0 2 2 0 0 2 0 2 0 0 0 0 2 0 2 2 2 2 0 0 2 0 0 2 0 0 2 0 2 2 0 0 2 0 2 0 2 2 2 0 0 0 0 0 2 2 0 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 0 2 0 2 2 2 2 0 0 2 0 2 2 2 0 2 0 0 2 2 0 0 2 2 2 2 0 0 0 0 2 0 0 0 0 0 2 0 0 2 0 0 2 0 2 2 2 0 2 0 0 2 0 0 2 0 0 2 2 0 2 0 2 0 2 0 2 2 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 2 2 0 0 0 2 2 2 0 2 2 2 0 0 2 2 0 0 2 0 2 2 0 0 2 2 2 2 2 2 0 2 0 2 0 2 0 2 2 2 0 0 0 0 0 0 2 2 0 2 0 0 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 2 0 2 0 0 2 0 2 0 2 0 0 2 0 2 0 2 2 2 2 0 2 0 2 0 0 2 0 2 0 0 2 2 2 0 0 2 2 2 0 0 0 0 2 0 2 2 2 2 2 0 2 0 2 2 0 0 2 2 0 0 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 0 2 0 0 2 2 2 0 2 0 2 2 2 2 2 0 2 0 0 2 2 2 2 0 0 0 0 0 2 0 2 2 2 2 2 2 2 0 2 2 2 0 0 0 0 2 0 2 2 0 2 2 2 2 0 0 0 2 0 0 0 2 2 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 2 2 2 2 0 2 2 0 0 2 2 0 2 0 2 2 0 2 2 2 0 0 0 0 0 0 2 2 0 0 2 2 0 2 2 2 0 2 2 0 0 0 0 0 0 0 2 2 2 2 0 2 0 0 0 2 0 2 2 2 2 0 2 2 2 0 2 2 2 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 2 2 2 0 2 2 0 0 0 0 2 2 2 0 0 2 0 0 2 0 2 0 2 0 2 2 0 2 0 2 0 2 2 2 2 0 2 0 0 0 0 2 2 2 2 0 0 0 2 0 2 0 0 0 2 0 2 2 2 0 2 2 2 2 2 2 2 0 0 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 2 2 2 2 2 2 2 0 2 0 0 2 2 2 2 2 0 2 0 0 2 0 2 0 2 2 2 0 0 0 2 0 0 2 2 2 2 0 0 2 2 0 2 2 2 2 2 0 2 2 0 0 0 2 0 2 generates a code of length 88 over Z4 who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+55x^72+46x^73+146x^74+136x^75+251x^76+268x^77+421x^78+414x^79+521x^80+582x^81+643x^82+740x^83+777x^84+904x^85+818x^86+1008x^87+895x^88+944x^89+912x^90+932x^91+835x^92+822x^93+658x^94+600x^95+456x^96+398x^97+312x^98+204x^99+195x^100+116x^101+138x^102+56x^103+78x^104+14x^105+34x^106+4x^107+22x^108+2x^109+13x^110+2x^111+10x^112+1x^114 The gray image is a code over GF(2) with n=176, k=14 and d=72. This code was found by Heurico 1.16 in 58.9 seconds.