Prime p₀= 2247864136139382791 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=81, k=10, 2 28 2 28 2

SPT(16)	2247861922247591051	0 26 36 50 78 98 110 120 146 156 168 188 216 230 240 266	-2213891791740
SPT(16)	2247862663918836143	0 36 44 86 90 138 174 180 254 260 296 344 348 390 398 434	-1472220546648
SPT(16)	2247863529884851777	0 30 34 64 72 94 132 184 252 304 342 364 372 402 406 436	-606254531014
SPT(16)	2247863752943753359	0 28 34 84 160 162 172 202 240 270 280 282 358 408 414 442	-383195629432
SPT(16)	2247863759556005993	0 8 20 50 80 86 98 120 134 156 168 174 204 234 246 254	-376583376798
STPT(10)	2247863856886306457	0 2 30 32 42 44 54 56 84 86	-279253076334
SPT(16)	2247864504096515141	0 6 32 66 78 80 90 138 230 278 288 290 302 336 362 368	367957132350
SPT(16)	2247864830606674003	0 18 28 54 58 76 90 96 118 124 138 156 160 186 196 214	694467291212
SPT(18)	2247865090938704087	0 6 12 30 116 140 170 182 240 242 300 312 342 366 452 470 476 482	954799321296
STPT(10)	2247865364448278189	0 2 18 20 30 32 42 44 60 62	1228308895398
SPT(16)	2247865451784085867	0 12 70 100 114 180 192 250 294 352 364 430 444 474 532 544	1315644703076