Prime p₀= 2972827287981743711 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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: 158
Found by: [SG-2W]Kurzer
db: batch=82, k=10, 2 28 2 46 2

SPT(16)	2972825551984485503	0 8 20 38 54 78 96 150 164 218 236 260 276 294 306 314	-1735997258208
TPT(14)	2972826007869239939	0 2 48 50 132 134 222 224 240 242 258 260 282 284	-1280112503772
SPT(16)	2972826287223199801	0 60 70 108 118 136 190 192 196 198 252 270 280 318 328 388	-1000758543910
SPT(16)	2972826438741296911	0 22 48 70 82 126 186 196 342 352 412 456 468 490 516 538	-849240446800
TPT(14)	2972827245137791211	0 2 18 20 30 32 60 62 78 80 216 218 228 230	-42843952500
STPT(10)	2972827280200789307	0 2 30 32 102 104 174 176 204 206	-7780954404
STPT(10)	2972827311170692511	0 2 6 8 48 50 90 92 96 98	23188948800
STPT(10)	2972828083388156837	0 2 30 32 42 44 54 56 84 86	795406413126
SPT(16)	2972828689385771939	0 8 20 48 90 114 120 132 290 302 308 332 374 402 414 422	1401404028228
SPT(16)	2972828727975589333	0 36 100 154 156 226 250 256 264 270 294 364 366 420 484 520	1439993845622
STPT(10)	2972828824034786441	0 2 156 158 168 170 180 182 336 338	1536053042730