The generator matrix

 1  0  0  1  1  1  2  0  1  1  0  1  2  1  1  1 X+2  1  1  X X+2  0 X+2  1  1  1  2  0  1  X  1  X  1  X  1  1  1 X+2  1  1  1 X+2  0  2  0  1  1 X+2  1  2  1  0  2  1  X  X  0  0  1  1  1  1  X  1  1  1  1  X  1  0  1 X+2  X  1  1  1
 0  1  0  0  1  1  1  2  0  0  1  1  1  1  X  3  1  2 X+3  1  X  1  1  1  0 X+2  1  1 X+1  2  0  1 X+3  1 X+3 X+2 X+1  X X+2  1 X+1  1  2  1  X X+2 X+1  1 X+1 X+2 X+2 X+2  1  0  1 X+2  1  1  1 X+2  2  X  1  2 X+1  1  1  0 X+2  1  2  1  0  0  1  0
 0  0  1  1  2  3  1  1  0  1  2  2  3  3  2 X+1  0 X+1  0  1  1  3 X+2  X  X  3  1  X  3  1 X+1 X+3  X  2  1  X X+2  1 X+2 X+1  2  X  1 X+3  1  0 X+1  0 X+3  1  3  1 X+2  0  0  X X+1 X+3  3 X+3  3  0  1  X X+2  0  2  1 X+1 X+2 X+2  X  1  2  1  1
 0  0  0  X  0  X  X  X X+2  2  X X+2  0  2  X  X X+2  2  2  0  2 X+2  2 X+2  0 X+2  2  X  2  0 X+2 X+2  0  2 X+2  X X+2 X+2  2  2  X  X X+2 X+2  2  0  0  0  2  0  X X+2  2  X  X X+2  0 X+2  0  0 X+2  2 X+2  X  X X+2  X  0  X  0  0  0  2  2 X+2  0

generates a code of length 76 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+22x^70+134x^71+236x^72+234x^73+254x^74+242x^75+170x^76+158x^77+111x^78+108x^79+106x^80+54x^81+59x^82+46x^83+28x^84+14x^85+16x^86+14x^87+17x^88+20x^89+1x^90+1x^94+2x^96

The gray image is a code over GF(2) with n=304, k=11 and d=140.
This code was found by Heurico 1.11 in 0.292 seconds.