Prime p₀= 1122740595199111979 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 58 2 10 2 106 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 180 182 192 194 252 254
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: 254
Found by: Theadalus
db: batch=76, k=12, 2 58 2 10 2 106

STPT(10)	1122738856245908729	0 2 42 44 60 62 78 80 120 122	-1738953203250
STPT(10)	1122738927886024451	0 2 30 32 60 62 90 92 120 122	-1667313087528
STPT(10)	1122738949630532807	0 2 42 44 72 74 102 104 144 146	-1645568579172
TPT(14)	1122738996279497291	0 2 60 62 78 80 156 158 168 170 186 188 198 200	-1598919614688
SPT(18)	1122739470541432487	0 14 56 66 134 164 204 206 240 266 300 302 342 372 440 450 492 506	-1124657679492
STPT(10)	1122739606745004497	0 2 12 14 72 74 132 134 144 146	-988454107482
STPT(10)	1122740724448178159	0 2 18 20 60 62 102 104 120 122	129249066180
SPT(16)	1122740895414126971	0 78 90 152 168 288 290 300 350 360 362 482 498 560 572 650	300215014992
TPT(14)	1122741272553021929	0 2 42 44 78 80 90 92 132 134 150 152 222 224	677353909950
STPT(10)	1122741946853857541	0 2 30 32 78 80 126 128 156 158	1351654745562
SPT(16)	1122742018904688373	0 28 156 184 196 210 214 226 258 270 274 288 300 328 456 484	1423705576394