Prime p₀= 2041661237674477421 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Orange Kid
db: batch=80, k=10, 2 34 2 40 2

SPT(16)	2041659668260860587	0 2 42 60 80 102 120 140 186 206 224 246 266 284 324 326	-1569413616834
STPT(10)	2041659871329203687	0 2 42 44 72 74 102 104 144 146	-1366345273734
STPT(10)	2041659877155148427	0 2 60 62 72 74 84 86 144 146	-1360519328994
SPT(16)	2041660320437859703	0 4 24 58 70 88 240 270 304 334 486 504 516 550 570 574	-917236617718
SPT(16)	2041660890609395831	0 2 32 72 90 116 156 158 180 182 222 248 266 306 336 338	-347065081590
STPT(10)	2041661192035443887	0 2 30 32 42 44 54 56 84 86	-45639033534
SPT(16)	2041661242676618183	0 20 38 54 66 90 126 134 150 158 194 218 230 246 264 284	5002140762
SPT(16)	2041661879522991683	0 18 26 48 60 86 90 138 146 194 198 224 236 258 266 284	641848514262
SPT(16)	2041661883523829993	0 20 60 96 114 128 144 194 270 320 336 350 368 404 444 464	645849352572
STPT(10)	2041662353750875937	0 2 54 56 72 74 90 92 144 146	1116076398516
SPT(16)	2041662672765109679	0 8 68 98 102 108 120 150 152 182 194 200 204 234 294 302	1435090632258