Prime p₀= 2334170636769336707 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: JonS
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2334169627720310509	0 10 22 52 54 70 82 94 108 120 132 148 150 180 192 202	-1009049026198
SPT(16)	2334169745362430621	0 2 6 18 48 66 78 90 158 170 182 200 230 242 246 248	-891406906086
SPT(16)	2334169801150812221	0 32 60 72 102 156 198 266 312 380 422 476 506 518 546 578	-835618524486
SPT(16)	2334169834953145807	0 94 112 132 142 144 216 244 312 340 412 414 424 444 462 556	-801816190900
SPT(16)	2334170156555674709	0 2 32 42 60 74 104 132 152 180 210 224 242 252 282 284	-480213661998
STPT(10)	2334170459627480231	0 2 6 8 18 20 30 32 36 38	-177141856476
STPT(10)	2334170966640729659	0 2 18 20 60 62 102 104 120 122	329871392952
SPT(16)	2334171183534327773	0 60 84 128 138 146 188 198 296 306 348 356 366 410 434 494	546764991066
STPT(10)	2334171398967900389	0 2 42 44 60 62 78 80 120 122	762198563682
SPT(16)	2334172258319928101	0 50 66 78 116 126 132 150 158 176 182 192 230 242 258 308	1621550591394
SPT(16)	2334172266736248541	0 18 28 30 52 66 72 88 150 166 172 186 208 210 220 238	1629966911834