Prime p₀= 1127398192729288769 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 46 2 118 2 46 2 40 2 (?)
a_n: 0 2 42 44 90 92 210 212 258 260 300 302
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 302
Found by: crashtech
db: batch=76, k=12, 2 40 2 46 2 118

STPT(10)	1127397106647701969	0 2 48 50 60 62 72 74 120 122	-1086081586800
SPT(16)	1127397203896262879	0 2 54 108 132 140 152 170 192 210 222 230 254 308 360 362	-988833025890
SPT(16)	1127397426733044263	0 18 54 56 60 66 84 110 144 170 188 194 198 200 236 254	-765996244506
SPT(16)	1127397565064828401	0 12 40 112 148 156 166 192 196 222 232 240 276 348 376 388	-627664460368
SPT(16)	1127398058476683893	0 14 20 74 104 116 128 146 168 186 198 210 240 294 300 314	-134252604876
STPT(10)	1127398155909652127	0 2 12 14 72 74 132 134 144 146	-36819636642
SPT(16)	1127398469128869473	0 50 54 60 116 170 186 216 308 338 354 408 464 470 474 524	276399580704
SPT(16)	1127398892382062941	0 16 60 70 82 148 172 238 300 366 390 456 468 478 522 538	699652774172
STPT(10)	1127398893735444269	0 2 18 20 30 32 42 44 60 62	701006155500
STPT(10)	1127399046294906557	0 2 12 14 42 44 72 74 84 86	853565617788
SPT(16)	1127399488632651043	0 18 106 118 120 148 154 210 214 270 276 304 306 318 406 424	1295903362274