Prime p₀= 4276877231638974299 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 88 2 88 2 28 2 (?)
a_n: 0 2 30 32 120 122 210 212 240 242
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: 242
Found by: Autofuzzy
db: batch=85, k=10, 2 28 2 88 2

STPT(10)	4276876094332811909	0 2 42 44 60 62 78 80 120 122	-1137306162390
SPT(16)	4276876355382553177	0 24 30 66 84 100 124 132 184 192 216 232 250 286 292 316	-876256421122
SPT(16)	4276876554252960529	0 4 40 70 78 114 120 172 180 232 238 274 282 312 348 352	-677386013770
SPT(16)	4276876598233013473	0 34 90 108 156 168 184 186 208 210 226 238 286 304 360 394	-633405960826
STPT(12)	4276876816511697551	0 2 18 20 60 62 96 98 138 140 156 158	-415127276748
SPT(16)	4276877102922310493	0 24 26 48 54 68 74 80 84 90 96 110 116 138 140 164	-128716663806
TPT(14)	4276877365741624871	0 2 36 38 138 140 210 212 216 218 300 302 348 350	134102650572
SPT(16)	4276877374402688309	0 20 38 60 144 150 224 258 260 294 368 374 458 480 498 518	142763714010
SPT(16)	4276877630911980959	0 2 8 12 44 50 90 132 140 182 222 228 260 264 270 272	399273006660
SPT(16)	4276877657202024827	0 12 42 54 96 110 120 140 156 176 186 200 242 254 284 296	425563050528
SPT(16)	4276877742432642637	0 12 52 66 70 96 120 156 286 322 346 372 376 390 430 442	510793668338