The generator matrix 1 0 0 1 1 1 0 1 1 1 1 1 0 2 0 1 0 1 1 2 0 1 1 1 2 1 0 1 1 2 0 0 1 1 1 0 1 2 1 1 2 1 0 1 1 0 0 2 2 1 1 1 1 0 2 1 2 1 2 1 2 0 1 1 1 0 1 0 1 0 1 1 0 0 1 3 2 1 1 0 2 0 3 3 1 1 1 2 1 0 0 1 2 2 1 1 1 0 1 1 2 1 0 1 2 1 2 1 0 3 1 1 1 1 3 0 0 3 2 1 1 1 0 1 2 0 1 3 1 0 0 0 1 1 1 0 1 0 1 3 2 1 2 1 1 0 1 3 0 1 0 1 1 3 1 3 2 1 0 1 0 0 2 3 1 1 3 1 0 1 2 2 1 3 0 3 0 2 0 1 1 0 0 1 2 1 0 0 3 3 1 2 1 2 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 2 0 2 0 0 2 0 0 0 2 2 2 2 2 0 2 2 0 2 0 0 0 2 2 2 0 2 2 0 2 2 2 2 2 0 2 0 0 2 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 2 2 2 0 2 0 2 2 2 2 0 0 2 0 0 0 2 2 0 0 0 0 0 2 2 2 0 0 2 2 2 0 0 0 2 0 2 0 2 0 2 2 0 0 2 0 0 2 0 2 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 0 2 2 2 2 2 0 2 0 0 2 2 0 2 2 2 2 0 2 0 2 0 0 2 0 2 0 2 2 0 0 0 2 0 0 0 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 2 2 0 2 2 0 0 0 2 2 0 2 2 0 2 0 0 0 2 0 0 2 2 0 2 2 0 2 2 0 2 2 2 2 2 0 2 2 2 2 2 2 2 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 2 0 0 2 0 2 2 2 0 0 2 0 0 2 2 0 2 0 2 2 0 0 0 2 0 0 2 2 2 2 0 0 0 2 2 0 0 0 2 0 0 2 0 0 2 2 0 2 2 0 2 2 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 2 2 2 0 2 0 2 2 2 0 0 0 0 2 2 0 2 0 2 2 2 2 2 0 2 0 2 2 0 0 0 0 2 2 2 0 2 0 2 2 2 2 2 0 2 2 0 0 2 0 0 0 generates a code of length 65 over Z4 who´s minimum homogenous weight is 54. Homogenous weight enumerator: w(x)=1x^0+50x^54+78x^55+135x^56+126x^57+179x^58+198x^59+231x^60+252x^61+230x^62+230x^63+227x^64+280x^65+253x^66+264x^67+189x^68+244x^69+181x^70+166x^71+169x^72+106x^73+106x^74+82x^75+54x^76+16x^77+16x^78+6x^79+10x^80+5x^82+5x^84+3x^86+2x^88+1x^90+1x^92 The gray image is a code over GF(2) with n=130, k=12 and d=54. This code was found by Heurico 1.16 in 2.63 seconds.