Prime p₀= 2322049800958861619 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 10 2 10 2 46 2 (?)
a_n: 0 2 48 50 60 62 72 74 120 122
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: Orange Kid
db: batch=81, k=10, 2 46 2 10 2

SPT(16)	2322048969723974039	0 2 14 24 42 50 128 150 152 174 252 260 278 288 300 302	-831234887580
SPT(16)	2322049047129609929	0 50 108 110 204 234 260 294 344 378 404 434 528 530 588 638	-753829251690
STPT(10)	2322049173816862121	0 2 30 32 78 80 126 128 156 158	-627141999498
STPT(10)	2322049276226619887	0 2 54 56 132 134 210 212 264 266	-524732241732
TPT(14)	2322049321327894889	0 2 12 14 42 44 108 110 132 134 150 152 168 170	-479630966730
SPT(16)	2322049361844586061	0 80 98 108 140 186 200 206 210 216 230 276 308 318 336 416	-439114275558
SPT(16)	2322049820921651399	0 24 38 50 80 90 108 140 168 200 218 228 258 270 284 308	19962789780
SPT(16)	2322049943049038593	0 40 96 108 130 136 160 228 286 354 378 384 406 418 474 514	142090176974
SPT(16)	2322050175552406237	0 42 72 94 130 142 204 220 246 262 324 336 372 394 424 466	374593544618
STPT(10)	2322050528922156449	0 2 18 20 30 32 42 44 60 62	727963294830
TPT(14)	2322050733737324867	0 2 54 56 90 92 102 104 114 116 144 146 180 182	932778463248