Prime p₀= 2334170966640729659 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: JonS
db: batch=81, k=10, 2 16 2 40 2

SPT(16)	2334169745362430621	0 2 6 18 48 66 78 90 158 170 182 200 230 242 246 248	-1221278299038
SPT(16)	2334169801150812221	0 32 60 72 102 156 198 266 312 380 422 476 506 518 546 578	-1165489917438
SPT(16)	2334169834953145807	0 94 112 132 142 144 216 244 312 340 412 414 424 444 462 556	-1131687583852
SPT(16)	2334170156555674709	0 2 32 42 60 74 104 132 152 180 210 224 242 252 282 284	-810085054950
STPT(10)	2334170459627480231	0 2 6 8 18 20 30 32 36 38	-507013249428
STPT(10)	2334170636769336707	0 2 24 26 42 44 60 62 84 86	-329871392952
SPT(16)	2334171183534327773	0 60 84 128 138 146 188 198 296 306 348 356 366 410 434 494	216893598114
STPT(10)	2334171398967900389	0 2 42 44 60 62 78 80 120 122	432327170730
SPT(16)	2334172258319928101	0 50 66 78 116 126 132 150 158 176 182 192 230 242 258 308	1291679198442
SPT(16)	2334172266736248541	0 18 28 30 52 66 72 88 150 166 172 186 208 210 220 238	1300095518882
STPT(10)	2334172404072248417	0 2 30 32 42 44 54 56 84 86	1437431518758