Prime p₀= 2899720327902779987 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: Landjunge
db: batch=82, k=10, 2 10 2 58 2

SPT(16)	2899719127520966039	0 48 50 72 78 90 98 144 158 204 212 224 230 252 254 302	-1200381813948
STPT(10)	2899719347638721807	0 2 90 92 132 134 174 176 264 266	-980264058180
STPT(10)	2899719441021043601	0 2 36 38 78 80 120 122 156 158	-886881736386
TPT(14)	2899720148876910839	0 2 60 62 102 104 132 134 198 200 240 242 258 260	-179025869148
STPT(10)	2899720173916244267	0 2 30 32 42 44 54 56 84 86	-153986535720
SPT(16)	2899720325281107637	0 12 36 102 112 180 196 214 222 240 256 324 334 400 424 436	-2621672350
SPT(16)	2899720561087754231	0 6 32 48 90 92 120 122 126 128 156 158 200 216 242 248	233184974244
STPT(10)	2899720629532000367	0 2 30 32 60 62 90 92 120 122	301629220380
TPT(14)	2899720915746008087	0 2 24 26 54 56 180 182 192 194 222 224 282 284	587843228100
STPT(10)	2899721619371128301	0 2 36 38 78 80 120 122 156 158	1291468348314
SPT(16)	2899721826891987689	0 8 12 20 30 44 92 180 212 300 348 362 372 380 384 392	1498989207702