Prime p₀= 2774565915019499927 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: JayPi
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2774564983613109677	0 2 14 60 102 104 146 156 170 180 222 224 266 312 324 326	-931406390250
STPT(10)	2774565025581758207	0 2 30 32 42 44 54 56 84 86	-889437741720
SPT(16)	2774565248946926177	0 2 12 72 110 140 164 200 204 240 264 294 332 392 402 404	-666072573750
TPT(14)	2774565301248179861	0 2 48 50 78 80 186 188 246 248 426 428 450 452	-613771320066
STPT(10)	2774565519988015067	0 2 12 14 42 44 72 74 84 86	-395031484860
SPT(16)	2774565672035903371	0 30 42 96 106 108 120 150 208 238 250 252 262 316 328 358	-242983596556
SPT(16)	2774566270381431233	0 8 24 86 108 134 170 200 294 324 360 386 408 470 486 494	355361931306
TPT(14)	2774566478666422049	0 2 30 32 42 44 78 80 150 152 162 164 192 194	563646922122
STPT(10)	2774566949368937909	0 2 18 20 30 32 42 44 60 62	1034349437982
SPT(16)	2774567023747611803	0 8 54 60 96 138 174 188 216 230 266 308 344 350 396 404	1108728111876
SPT(16)	2774567054446853191	0 10 22 28 58 88 102 108 232 238 252 282 312 318 330 340	1139427353264