Prime p₀= 1317514580530341497 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 76 2 76 2 52 2 (?)
a_n: 0 2 54 56 132 134 210 212 264 266
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: 266
Found by: Theadalus
db: batch=77, k=10, 2 52 2 76 2

TPT(16)	1317513204895981649	0 2 48 50 90 92 132 134 150 152 162 164 180 182 318 320	-1375634359848
SPT(16)	1317513617393802043	0 28 34 48 54 70 120 124 174 178 228 244 250 264 270 298	-963136539454
SPT(18)	1317513709868206847	0 12 50 72 80 132 156 164 176 210 222 230 254 306 314 336 374 386	-870662134650
STPT(10)	1317513799085401997	0 2 72 74 102 104 132 134 204 206	-781444939500
STPT(10)	1317514228707742361	0 2 6 8 18 20 30 32 36 38	-351822599136
SPT(16)	1317514389822153181	0 18 42 58 60 70 150 156 262 268 348 358 360 376 400 418	-190708188316
SPT(16)	1317514605828801481	0 10 72 90 112 136 192 252 376 436 492 516 538 556 618 628	25298459984
STPT(12)	1317514608283878839	0 2 18 20 42 44 48 50 72 74 90 92	27753537342
STPT(10)	1317514904016320699	0 2 18 20 30 32 42 44 60 62	323485979202
SPT(20)	1317514927261493647	0 82 114 120 126 130 154 162 172 190 246 264 274 282 306 310 316 322 354 436	346731152150
SPT(16)	1317515278341047267	0 6 20 32 44 86 114 144 152 182 210 252 264 276 290 296	697810705770