Prime p₀= 1246937013327214367 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 16 2 16 2 52 2 (?)
a_n: 0 2 54 56 72 74 90 92 144 146
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: emoga
db: batch=77, k=10, 2 52 2 16 2

SPT(16)	1246936157917368547	0 52 54 94 132 144 154 186 250 282 292 304 342 382 384 436	-855409845820
SPT(18)	1246936300754931607	0 30 34 46 142 144 280 294 304 402 412 426 562 564 660 672 676 706	-712572282760
STPT(10)	1246936336436996501	0 2 6 8 18 20 30 32 36 38	-676890217866
SPT(16)	1246936653347769641	0 50 90 96 116 126 236 242 330 336 446 456 476 482 522 572	-359979444726
TPT(14)	1246936822140856577	0 2 24 26 42 44 84 86 132 134 234 236 300 302	-191186357790
STPT(10)	1246936945694431967	0 2 84 86 132 134 180 182 264 266	-67632782400
STPT(10)	1246937317843506239	0 2 18 20 30 32 42 44 60 62	304516291872
STPT(10)	1246937743935913607	0 2 30 32 42 44 54 56 84 86	730608699240
STPT(10)	1246938049758131189	0 2 18 20 30 32 42 44 60 62	1036430916822
STPT(10)	1246938322851539567	0 2 30 32 42 44 54 56 84 86	1309524325200
SPT(16)	1246938637831145227	0 16 22 30 42 64 72 90 106 124 132 154 166 174 180 196	1624503930860