The generator matrix

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

generates a code of length 75 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+31x^62+16x^63+93x^64+56x^65+138x^66+124x^67+224x^68+268x^69+341x^70+476x^71+536x^72+692x^73+713x^74+824x^75+711x^76+712x^77+569x^78+456x^79+307x^80+272x^81+166x^82+140x^83+102x^84+44x^85+59x^86+12x^87+46x^88+4x^89+19x^90+19x^92+8x^94+9x^96+3x^98+1x^114

The gray image is a code over GF(2) with n=300, k=13 and d=124.
This code was found by Heurico 1.16 in 7.68 seconds.