Prime p₀= 2731897368944824427 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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 10 2 28 2

STPT(10)	2731896159490052207	0 2 30 32 102 104 174 176 204 206	-1209454772220
SPT(16)	2731896325637426509	0 24 58 60 90 150 160 178 210 228 238 298 328 330 364 388	-1043307397918
STPT(10)	2731896539610442049	0 2 18 20 30 32 42 44 60 62	-829334382378
SPT(16)	2731896833870050177	0 42 64 84 144 156 172 184 282 294 310 322 382 402 424 466	-535074774250
SPT(16)	2731896888860886793	0 90 96 138 180 226 258 300 334 376 408 454 496 538 544 634	-480083937634
SPT(16)	2731896929525176033	0 18 36 64 70 78 90 106 108 124 136 144 150 178 196 214	-439419648394
SPT(16)	2731897451918450327	0 32 44 144 246 252 254 266 270 282 284 290 392 492 504 536	82973625900
STPT(10)	2731897595765257949	0 2 42 44 120 122 198 200 240 242	226820433522
SPT(16)	2731897721787845147	0 42 50 92 102 110 116 176 186 246 252 260 270 312 320 362	352843020720
STPT(10)	2731898201711178947	0 2 42 44 72 74 102 104 144 146	832766354520
STPT(10)	2731898253371962847	0 2 42 44 72 74 102 104 144 146	884427138420