The generator matrix

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

generates a code of length 82 over Z4 who´s minimum homogenous weight is 75.

Homogenous weight enumerator: w(x)=1x^0+44x^75+89x^76+94x^77+105x^78+108x^79+84x^80+62x^81+64x^82+64x^83+35x^84+40x^85+41x^86+28x^87+22x^88+18x^89+22x^90+14x^91+10x^92+10x^93+16x^94+6x^95+9x^96+12x^97+8x^98+6x^99+4x^100+4x^101+2x^103+2x^104

The gray image is a code over GF(2) with n=164, k=10 and d=75.
This code was found by Heurico 1.10 in 0.078 seconds.