The generator matrix

1 0 0 0 0 1 1 1 1 2 1 2 1 0 1 0 2 0 1 1 2 2 1 1 1 0 2 1 2 2 1 1 1 2 0 0 1 0 0 1 2 1 1 1 2 1 1 2 2 1 1 0 2 0 2 1 1 1 1 1 1 0 1 1 1 1 0 1 1 2 0 2 2 2 2 1 2 2 0 2 0 1 1
0 1 0 0 0 0 0 0 2 0 0 2 2 0 2 0 1 1 1 1 1 1 3 3 1 1 1 3 1 2 1 3 0 0 1 1 3 2 1 1 2 3 3 2 0 1 2 2 0 2 2 0 1 0 1 1 0 2 3 0 0 0 1 1 2 0 1 3 2 0 1 2 1 0 1 2 1 1 0 1 1 0 1
0 0 1 0 0 0 0 1 1 1 2 1 1 2 1 1 1 2 3 1 0 1 1 2 0 1 2 3 1 0 2 2 2 1 1 0 1 1 0 3 1 3 0 3 1 2 2 2 2 0 3 0 2 1 3 2 3 3 2 2 2 1 3 2 3 1 3 0 3 1 2 0 3 1 1 2 1 2 1 3 3 1 1
0 0 0 1 0 1 0 2 1 1 1 1 3 1 0 2 3 1 1 2 0 0 2 2 1 2 3 3 3 2 3 0 0 0 0 3 1 3 0 3 3 0 2 2 2 0 3 2 1 0 1 1 0 3 0 3 3 3 2 1 2 2 0 2 0 0 1 3 3 2 0 0 2 2 1 2 3 1 0 1 2 0 1
0 0 0 0 1 1 3 3 1 0 2 3 2 1 0 1 3 0 0 0 1 2 1 2 2 3 1 3 0 1 1 1 0 3 2 3 3 1 0 2 2 0 0 3 2 3 2 1 2 2 1 0 0 3 3 0 2 1 0 3 1 2 1 3 2 2 0 1 3 2 1 1 1 0 2 1 3 3 1 0 2 3 3
0 0 0 0 0 2 2 2 2 0 0 2 0 2 0 2 2 0 0 0 2 0 2 0 0 2 2 2 0 2 0 0 2 0 2 0 0 0 2 2 2 2 2 0 2 0 2 0 2 2 0 2 0 0 0 2 2 0 0 2 0 0 0 2 2 0 2 0 0 0 0 2 0 2 2 2 0 0 0 2 0 0 2

generates a code of length 83 over Z4 who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+54x^74+114x^75+115x^76+128x^77+136x^78+164x^79+128x^80+122x^81+139x^82+100x^83+116x^84+98x^85+90x^86+78x^87+79x^88+74x^89+50x^90+46x^91+35x^92+36x^93+20x^94+28x^95+27x^96+18x^97+17x^98+12x^99+10x^100+2x^101+6x^102+2x^103+1x^104+2x^105

The gray image is a code over GF(2) with n=166, k=11 and d=74.
This code was found by Heurico 1.10 in 0.281 seconds.