Prime p₀= 2355677459372042129 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Landjunge
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2355676436996063711	0 90 158 168 192 222 242 248 330 336 356 386 410 420 488 578	-1022375978418
TPT(14)	2355676514994171737	0 2 12 14 42 44 54 56 84 86 90 92 132 134	-944377870392
SPT(16)	2355676751440369871	0 2 8 12 66 86 90 98 120 128 132 152 206 210 216 218	-707931672258
SPT(16)	2355677105482776287	0 42 60 116 144 150 164 296 330 462 476 482 510 566 584 626	-353889265842
SPT(16)	2355677366270708561	0 2 12 90 92 98 170 186 212 228 300 306 308 386 396 398	-93101333568
SPT(16)	2355677367191990971	0 52 78 82 96 108 138 148 210 220 250 262 276 280 306 358	-92180051158
SPT(16)	2355677658382621543	0 10 28 48 94 124 138 148 180 190 204 234 280 300 318 328	199010579414
SPT(16)	2355677844681529253	0 8 18 54 68 120 146 156 158 168 194 246 260 296 306 314	385309487124
SPT(13)	2355678498197453713	0 6 30 36 78 96 168 240 258 300 306 330 336	1038825411584
STPT(10)	2355679942739297357	0 2 30 32 42 44 54 56 84 86	2483367255228
STPT(10)	2355680282860979489	0 2 18 20 30 32 42 44 60 62	2823488937360