Prime p₀= 786185691028366301 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: schoussi
db: batch=73, k=10, 2 28 2 46 2

SPT(16)	786184329211455319	0 4 34 52 70 90 120 144 220 244 274 294 312 330 360 364	-1361816910982
SPT(16)	786184649597881879	0 4 60 88 102 114 120 130 132 142 148 160 174 202 258 262	-1041430484422
SPT(16)	786184678615736243	0 6 74 86 98 104 110 120 194 204 210 216 228 240 308 314	-1012412630058
STPT(10)	786184771037625899	0 2 18 20 30 32 42 44 60 62	-919990740402
STPT(10)	786185117806572257	0 2 54 56 72 74 90 92 144 146	-573221794044
STPT(10)	786185189681414387	0 2 42 44 72 74 102 104 144 146	-501346951914
STPT(10)	786186330664170377	0 2 30 32 42 44 54 56 84 86	639635804076
SPT(16)	786186644580948253	0 4 10 16 54 108 154 178 186 210 256 310 348 354 360 364	953552581952
SPT(16)	786186652714776967	0 24 34 64 70 82 192 234 262 304 414 426 432 462 472 496	961686410666
STPT(10)	786187172744327351	0 2 6 8 48 50 90 92 96 98	1481715961050
SPT(16)	786187368384971257	0 40 52 66 82 124 144 172 174 202 222 264 280 294 306 346	1677356604956