Prime p₀= 1971706504169098727 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: Coleslaw
db: batch=80, k=10, 2 28 2 28 2

SPT(16)	1971704430835621663	0 34 76 84 90 96 114 154 240 280 298 304 310 318 360 394	-2073333477064
SPT(16)	1971705200801590183	0 40 54 114 144 154 156 166 408 418 420 430 460 520 534 574	-1303367508544
SPT(16)	1971705450505191209	0 8 30 42 68 72 92 98 132 138 158 162 188 200 222 230	-1053663907518
STPT(10)	1971705711955310291	0 2 36 38 78 80 120 122 156 158	-792213788436
STPT(10)	1971706005237214151	0 2 6 8 48 50 90 92 96 98	-498931884576
STPT(10)	1971706454169736967	0 2 12 14 72 74 132 134 144 146	-49999361760
STPT(10)	1971706584904568957	0 2 30 32 42 44 54 56 84 86	80735470230
STPT(10)	1971706718903397011	0 2 6 8 48 50 90 92 96 98	214734298284
STPT(10)	1971706794557892809	0 2 18 20 30 32 42 44 60 62	290388794082
STPT(10)	1971707152315686881	0 2 138 140 168 170 198 200 336 338	648146588154
SPT(16)	1971707435935951781	0 8 12 18 62 78 90 96 182 188 200 216 260 266 270 278	931766853054