The generator matrix 1 0 1 1 1 0 1 1 0 1 1 0 2 1 1 1 1 0 1 2 1 1 1 0 1 1 0 1 2 1 1 2 1 0 1 1 1 1 1 1 1 0 1 2 1 1 0 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 2 1 1 1 1 1 0 0 0 0 1 1 0 2 1 0 1 1 2 0 1 1 0 1 1 0 1 1 2 3 1 1 0 3 3 0 1 2 1 3 3 0 1 0 3 1 3 1 2 0 1 3 1 0 3 3 1 3 1 0 1 2 1 0 0 1 1 1 1 3 3 1 1 3 1 3 3 3 1 1 1 2 3 3 1 3 2 1 1 1 0 2 2 1 2 1 3 1 2 1 2 1 2 3 0 0 0 2 0 0 0 0 0 0 0 2 0 0 2 2 0 0 2 2 2 2 2 2 2 0 0 0 0 2 2 0 2 0 0 2 2 2 0 2 2 0 0 2 2 2 2 2 2 2 0 0 0 2 0 0 2 0 2 2 2 2 2 2 2 0 0 0 0 2 2 0 2 2 0 2 0 2 0 0 0 0 2 2 0 0 2 0 0 0 2 0 0 0 0 0 2 0 0 0 2 2 2 2 0 0 0 0 2 2 2 2 0 2 0 0 2 2 2 2 0 2 0 2 0 0 0 0 0 2 2 2 2 0 0 0 2 0 0 0 2 2 0 0 2 2 0 2 0 0 2 2 0 2 2 2 0 0 0 0 0 2 2 2 2 2 0 2 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 2 2 2 0 0 2 2 0 2 0 2 2 2 2 2 2 0 2 2 2 2 2 2 2 0 2 2 0 2 0 2 2 0 0 0 2 0 2 2 2 0 0 0 0 0 2 2 0 0 0 0 0 0 2 0 2 2 2 0 0 0 0 0 0 2 0 2 0 0 0 0 2 2 0 0 2 0 0 0 0 0 2 0 0 2 0 0 2 0 0 2 2 0 2 0 0 0 2 2 2 0 2 2 0 2 0 2 2 0 2 2 0 0 0 2 0 0 0 2 2 0 0 2 2 0 2 0 2 0 0 0 2 2 0 2 0 0 2 2 2 0 2 2 0 0 2 0 0 2 0 0 2 2 0 2 2 2 2 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 0 2 0 2 2 2 2 2 2 0 2 2 2 0 2 0 2 2 0 0 0 0 2 0 2 0 2 2 2 0 0 2 2 2 2 0 0 0 2 2 2 2 0 0 0 0 2 0 0 0 0 0 0 2 2 0 2 0 2 0 0 2 0 2 0 0 2 0 0 0 2 2 0 2 2 0 0 0 0 0 0 0 2 2 0 2 0 2 0 0 2 0 2 0 2 0 2 0 0 2 2 0 0 0 2 2 0 0 0 2 2 0 2 2 0 2 2 2 2 0 0 0 0 2 2 0 2 2 0 2 0 2 0 0 2 0 2 2 2 2 2 0 0 2 0 0 0 0 2 2 2 2 0 0 0 2 0 0 2 2 0 generates a code of length 86 over Z4 who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+96x^78+161x^80+128x^82+122x^84+101x^86+102x^88+109x^90+76x^92+48x^94+33x^96+16x^98+10x^100+9x^102+4x^104+1x^106+2x^110+1x^112+2x^114+2x^120 The gray image is a code over GF(2) with n=172, k=10 and d=78. This code was found by Heurico 1.16 in 57.3 seconds.