Prime p₀= 2396200643750662949 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: Boliver
db: batch=81, k=10, 2 10 2 76 2

TPT(14)	2396199539977332377	0 2 12 14 114 116 120 122 162 164 222 224 264 266	-1103773330572
TPT(14)	2396199975479416187	0 2 12 14 72 74 144 146 222 224 240 242 354 356	-668271246762
SPT(16)	2396200039215750217	0 16 52 60 64 72 102 106 150 154 184 192 196 204 240 256	-604534912732
SPT(16)	2396200060834899157	0 4 10 24 34 66 70 76 150 156 160 192 202 216 222 226	-582915763792
STPT(10)	2396200208033300939	0 2 48 50 90 92 132 134 180 182	-435717362010
STPT(10)	2396200541248857527	0 2 30 32 60 62 90 92 120 122	-102501805422
SPT(16)	2396200961921774837	0 20 36 84 96 144 146 216 224 294 296 344 356 404 420 440	318171111888
STPT(10)	2396201083059532319	0 2 18 20 30 32 42 44 60 62	439308869370
SPT(16)	2396201158233453871	0 10 40 70 72 100 102 132 178 208 210 238 240 270 300 310	514482790922
TPT(14)	2396201398659258767	0 2 54 56 90 92 120 122 174 176 252 254 330 332	754908595818
STPT(10)	2396201881757978267	0 2 30 32 42 44 54 56 84 86	1238007315318