The generator matrix

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

generates a code of length 81 over Z4 who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+50x^70+82x^71+142x^72+204x^73+219x^74+242x^75+239x^76+218x^77+212x^78+246x^79+215x^80+246x^81+215x^82+168x^83+191x^84+170x^85+174x^86+144x^87+136x^88+118x^89+101x^90+108x^91+69x^92+52x^93+44x^94+32x^95+26x^96+16x^97+9x^98+2x^99+5x^100

The gray image is a code over GF(2) with n=162, k=12 and d=70.
This code was found by Heurico 1.16 in 2.92 seconds.