Prime p₀= 2309037602756145431 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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: 158
Found by: Landjunge
db: batch=81, k=10, 2 28 2 46 2

STPT(10)	2309036191927161791	0 2 6 8 48 50 90 92 96 98	-1410828983640
STPT(10)	2309036500178713157	0 2 30 32 72 74 114 116 144 146	-1102577432274
SPT(16)	2309036605466022353	0 8 38 60 110 120 126 138 146 158 164 174 224 246 276 284	-997290123078
STPT(10)	2309036991801030719	0 2 48 50 90 92 132 134 180 182	-610955114712
SPT(16)	2309037467005699877	0 6 14 24 32 56 74 90 116 132 150 174 182 192 200 206	-135750445554
STPT(10)	2309037561987996899	0 2 42 44 90 92 138 140 180 182	-40768148532
SPT(16)	2309037639363421249	0 64 72 90 100 108 138 178 264 304 334 342 352 370 378 442	36607275818
SPT(16)	2309037832775358271	0 28 46 48 58 66 70 100 168 198 202 210 220 222 240 268	230019212840
SPT(16)	2309037905335106333	0 38 44 66 110 120 164 168 176 180 224 234 278 300 306 344	302578960902
STPT(10)	2309037932626153577	0 2 30 32 60 62 90 92 120 122	329870008146
SPT(16)	2309037964582059367	0 12 24 34 40 52 70 90 94 114 132 144 150 160 172 184	361825913936