Prime p₀= 1242739715832764267 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: Cruncher Pete
db: batch=77, k=10, 2 28 2 10 2

STPT(10)	1242738174816980669	0 2 18 20 60 62 102 104 120 122	-1541015783598
SPT(16)	1242738234661489639	0 24 52 94 132 150 154 162 250 258 262 280 318 360 388 412	-1481171274628
SPT(16)	1242738433321921813	0 4 16 28 54 138 180 186 238 244 286 370 396 408 420 424	-1282510842454
STPT(12)	1242738585124223699	0 2 30 32 72 74 78 80 120 122 150 152	-1130708540568
STPT(10)	1242739378826380049	0 2 18 20 30 32 42 44 60 62	-337006384218
TPT(14)	1242739501559779499	0 2 42 44 48 50 90 92 150 152 168 170 258 260	-214272984768
STPT(10)	1242739890426190691	0 2 78 80 108 110 138 140 216 218	174593426424
STPT(10)	1242740020961189279	0 2 12 14 90 92 168 170 180 182	305128425012
STPT(10)	1242740857765465307	0 2 30 32 42 44 54 56 84 86	1141932701040
SPT(16)	1242741030623381173	0 78 96 108 244 250 280 304 390 414 444 450 586 598 616 694	1314790616906
SPT(16)	1242741298371937237	0 34 102 142 150 216 234 240 256 262 280 346 354 394 462 496	1582539172970