Prime p₀= 4276876094332811909 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: Jeff17
db: batch=85, k=10, 2 40 2 16 2

SPT(16)	4276873258150368289	0 12 18 52 82 88 130 144 178 192 234 240 270 304 310 322	-2836182443620
SPT(16)	4276873470550835783	0 44 80 114 200 206 234 248 276 290 318 324 410 444 480 524	-2623781976126
SPT(16)	4276875024268182337	0 16 30 40 42 46 112 150 172 210 276 280 282 292 306 322	-1070064629572
STPT(10)	4276875284588343419	0 2 12 14 90 92 168 170 180 182	-809744468490
STPT(12)	4276875661485727577	0 2 12 14 54 56 60 62 102 104 114 116	-432847084332
STPT(10)	4276875789440624561	0 2 36 38 78 80 120 122 156 158	-304892187348
SPT(16)	4276876355382553177	0 24 30 66 84 100 124 132 184 192 216 232 250 286 292 316	261049741268
SPT(16)	4276876554252960529	0 4 40 70 78 114 120 172 180 232 238 274 282 312 348 352	459920148620
SPT(16)	4276876598233013473	0 34 90 108 156 168 184 186 208 210 226 238 286 304 360 394	503900201564
STPT(12)	4276876816511697551	0 2 18 20 60 62 96 98 138 140 156 158	722178885642
SPT(16)	4276877102922310493	0 24 26 48 54 68 74 80 84 90 96 110 116 138 140 164	1008589498584