Prime p₀= 2356848681237112757 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: Landjunge
db: batch=81, k=10, 2 28 2 28 2

STPT(10)	2356847483557517051	0 2 6 8 48 50 90 92 96 98	-1197679595706
SPT(16)	2356847496724322081	0 12 18 42 68 90 110 126 152 168 188 210 236 260 266 278	-1184512790676
SPT(16)	2356848169496847839	0 2 18 38 98 128 140 158 234 252 264 294 354 374 390 392	-511740264918
SPT(16)	2356848297628785403	0 4 46 66 70 78 148 150 154 156 226 234 238 258 300 304	-383608327354
TPT(14)	2356848595358508497	0 2 30 32 54 56 120 122 180 182 252 254 294 296	-85878604260
STPT(10)	2356848598540482251	0 2 6 8 18 20 30 32 36 38	-82696630506
SPT(16)	2356849009014654541	0 18 28 46 70 102 192 220 228 256 346 378 402 420 430 448	327777541784
STPT(10)	2356849141410932711	0 2 6 8 48 50 90 92 96 98	460173819954
SPT(16)	2356849284211880881	0 12 40 66 70 78 82 90 238 246 250 258 262 288 316 328	602974768124
SPT(16)	2356849299728946941	0 18 20 32 42 50 80 92 156 168 198 206 216 228 230 248	618491834184
SPT(16)	2356849493945042989	0 22 54 70 118 154 204 244 258 298 348 384 432 448 480 502	812707930232