Prime p₀= 2922847065885016337 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Coleslaw
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2922845386373227747	0 24 34 40 60 76 82 102 154 174 180 196 216 222 232 256	-1679511788590
TPT(14)	2922845485931993189	0 2 12 14 42 44 78 80 120 122 138 140 150 152	-1579953023148
SPT(16)	2922845680881234079	0 12 24 28 70 88 100 130 192 222 234 252 294 298 310 322	-1385003782258
SPT(16)	2922845736038809853	0 18 20 38 56 140 156 188 276 308 324 408 426 444 446 464	-1329846206484
STPT(10)	2922846214053653939	0 2 18 20 30 32 42 44 60 62	-851831362398
STPT(10)	2922846816628976747	0 2 42 44 72 74 102 104 144 146	-249256039590
SPT(16)	2922848271479021129	0 38 48 54 132 150 180 194 228 242 272 290 368 374 384 422	1205594004792
SPT(16)	2922848362237227469	0 22 64 84 94 114 118 154 198 234 238 258 268 288 330 352	1296352211132
STPT(10)	2922848542998454979	0 2 18 20 30 32 42 44 60 62	1477113438642
SPT(16)	2922848875422054611	0 50 62 68 110 126 138 146 162 170 182 198 240 246 258 308	1809537038274
SPT(16)	2922848905579507673	0 38 48 114 156 168 200 230 234 264 296 308 350 416 426 464	1839694491336