Prime p₀= 1126371451724413589 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 122
Found by: crashtech
db: batch=76, k=10, 2 28 2 28 2

SPT(16)	1126370947465097441	0 30 38 42 108 176 186 210 248 272 282 350 416 420 428 458	-504259316148
TPT(14)	1126371001209468137	0 2 60 62 90 92 210 212 264 266 270 272 300 302	-450514945452
STPT(10)	1126371072141927221	0 2 36 38 78 80 120 122 156 158	-379582486368
SPT(18)	1126371174942903353	0 24 44 60 150 168 188 234 336 398 500 546 566 584 674 690 710 734	-276781510236
SPT(16)	1126371216300224303	0 14 44 68 90 128 156 170 234 248 276 314 336 360 390 404	-235424189286
STPT(10)	1126371435310235339	0 2 78 80 120 122 162 164 240 242	-16414178250
SPT(16)	1126371533590285453	0 4 18 30 64 100 106 150 154 198 204 240 274 286 300 304	81865871864
STPT(12)	1126371727243173737	0 2 30 32 42 44 132 134 144 146 174 176	275518760148
TPT(14)	1126371979147882529	0 2 30 32 72 74 192 194 210 212 270 272 282 284	527423468940
STPT(10)	1126372035341814881	0 2 6 8 48 50 90 92 96 98	583617401292
SPT(16)	1126372315689931991	0 18 30 48 80 132 158 192 248 282 308 360 392 410 422 440	863965518402