Prime p₀= 1246936945694431967 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 82 2 46 2 46 2 82 2 (?)
a_n: 0 2 84 86 132 134 180 182 264 266
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: 266
Found by: emoga
db: batch=77, k=10, 2 82 2 46 2

SPT(16)	1246936080866577667	0 40 52 60 82 150 154 166 180 192 196 264 286 294 306 346	-864827854300
SPT(16)	1246936157917368547	0 52 54 94 132 144 154 186 250 282 292 304 342 382 384 436	-787777063420
SPT(18)	1246936300754931607	0 30 34 46 142 144 280 294 304 402 412 426 562 564 660 672 676 706	-644939500360
STPT(10)	1246936336436996501	0 2 6 8 18 20 30 32 36 38	-609257435466
SPT(16)	1246936653347769641	0 50 90 96 116 126 236 242 330 336 446 456 476 482 522 572	-292346662326
TPT(14)	1246936822140856577	0 2 24 26 42 44 84 86 132 134 234 236 300 302	-123553575390
STPT(10)	1246937013327214367	0 2 54 56 72 74 90 92 144 146	67632782400
STPT(10)	1246937317843506239	0 2 18 20 30 32 42 44 60 62	372149074272
STPT(10)	1246937743935913607	0 2 30 32 42 44 54 56 84 86	798241481640
STPT(10)	1246938049758131189	0 2 18 20 30 32 42 44 60 62	1104063699222
STPT(10)	1246938322851539567	0 2 30 32 42 44 54 56 84 86	1377157107600