Prime p₀= 1245261642031252127 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: 146
Found by: Megacruncher
db: batch=77, k=10, 2 58 2 10 2

TPT(14)	1245261164707684181	0 2 30 32 66 68 78 80 168 170 180 182 336 338	-477323567946
STPT(10)	1245261297673767461	0 2 6 8 48 50 90 92 96 98	-344357484666
TPT(14)	1245261348786932129	0 2 30 32 72 74 78 80 168 170 210 212 252 254	-293244319998
SPT(16)	1245261433550923807	0 22 40 82 222 244 256 286 300 330 342 364 504 546 564 586	-208480328320
STPT(10)	1245261491064813317	0 2 30 32 42 44 54 56 84 86	-150966438810
STPT(10)	1245261580767426977	0 2 60 62 72 74 84 86 144 146	-61263825150
SPT(16)	1245262216362020821	0 6 12 96 100 150 160 240 262 342 352 402 406 490 496 502	574330768694
SPT(16)	1245263197181457607	0 6 30 82 90 114 180 184 192 196 262 286 294 346 370 376	1555150205480
STPT(10)	1245263292176368079	0 2 18 20 30 32 42 44 60 62	1650145115952
SPT(16)	1245263369871041303	0 30 38 44 48 56 104 116 138 150 198 206 210 216 224 254	1727839789176
STPT(10)	1245263846446040807	0 2 12 14 42 44 72 74 84 86	2204414788680