Prime p₀= 2398551167620352807 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 16 2 22 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 54 56 72 74 84 86
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: 86
Found by: JayPi
db: batch=82, k=12, 2 10 2 16 2 22

SPT(16)	2398549456585763477	0 12 36 62 66 90 96 122 150 176 182 206 210 236 260 272	-1711034589330
SPT(16)	2398549463958063307	0 6 34 40 64 160 162 232 264 334 336 432 456 462 490 496	-1703662289500
SPT(16)	2398549544216232557	0 2 12 50 62 152 170 176 210 216 234 324 336 374 384 386	-1623404120250
STPT(10)	2398549771042697159	0 2 18 20 30 32 42 44 60 62	-1396577655648
SPT(16)	2398550030350657297	0 4 64 66 70 72 102 112 144 154 184 186 190 192 252 256	-1137269695510
SPT(16)	2398550314424418173	0 48 68 90 96 144 174 206 288 320 350 398 404 426 446 494	-853195934634
SPT(16)	2398551306532001449	0 24 28 30 72 90 100 114 118 132 142 160 202 204 208 232	138911648642
STPT(10)	2398552039856412899	0 2 42 44 90 92 138 140 180 182	872236060092
STPT(10)	2398552230550632857	0 2 30 32 42 44 54 56 84 86	1062930280050
STPT(10)	2398552260353719439	0 2 12 14 30 32 48 50 60 62	1092733366632
STPT(10)	2398552607263292531	0 2 6 8 18 20 30 32 36 38	1439642939724