Prime p₀= 2573565600741659297 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: [SG-FC] hl
db: batch=82, k=10, 2 10 2 58 2

SPT(16)	2573564448393049591	0 22 42 46 72 76 90 112 120 142 156 160 186 190 210 232	-1152348609706
SPT(16)	2573564605308546989	0 38 54 72 140 152 170 192 200 222 240 252 320 338 354 392	-995433112308
SPT(16)	2573564797233384649	0 22 28 34 58 78 100 114 238 252 274 294 318 324 330 352	-803508274648
STPT(10)	2573564837513013101	0 2 6 8 18 20 30 32 36 38	-763228646196
SPT(16)	2573564843237844857	0 32 42 90 120 134 162 174 200 212 240 254 284 332 342 374	-757503814440
TPT(14)	2573565176236893197	0 2 72 74 84 86 102 104 132 134 384 386 414 416	-424504766100
SPT(16)	2573565794983109887	0 6 10 34 36 52 142 154 192 204 294 310 312 336 340 346	194241450590
STPT(10)	2573565964522615367	0 2 30 32 42 44 54 56 84 86	363780956070
STPT(10)	2573566074088604897	0 2 30 32 42 44 54 56 84 86	473346945600
STPT(10)	2573566158639909029	0 2 18 20 60 62 102 104 120 122	557898249732
SPT(16)	2573566330248244049	0 8 12 108 110 132 182 192 218 228 278 300 302 398 402 410	729506584752