The generator matrix

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

generates a code of length 79 over Z4 who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+51x^70+84x^71+116x^72+164x^73+125x^74+140x^75+169x^76+128x^77+127x^78+110x^79+92x^80+106x^81+80x^82+104x^83+65x^84+50x^85+71x^86+38x^87+51x^88+40x^89+41x^90+24x^91+12x^92+18x^93+11x^94+12x^95+4x^96+6x^97+6x^98+2x^100

The gray image is a code over GF(2) with n=158, k=11 and d=70.
This code was found by Heurico 1.16 in 0.773 seconds.