Prime p₀= 2682021225094116977 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: [SG-FC] hl
db: batch=82, k=10, 2 28 2 10 2

TPT(14)	2682020531209793687	0 2 60 62 90 92 102 104 114 116 174 176 240 242	-693884323290
SPT(16)	2682020706943944803	0 6 20 24 38 90 104 108 206 210 224 276 290 294 308 314	-518150172174
SPT(20)	2682020777532679091	0 26 56 62 120 132 138 146 168 176 192 200 222 230 236 248 306 312 342 368	-447561437886
SPT(16)	2682021029126047027	0 34 70 94 132 172 214 216 220 222 264 304 342 366 402 436	-195968069950
SPT(16)	2682021086905085647	0 24 30 46 106 124 154 172 204 222 252 270 330 346 352 376	-138189031330
SPT(16)	2682021203529905863	0 6 16 66 70 114 118 138 196 216 220 264 268 318 328 334	-21564211114
SPT(16)	2682021240070190783	0 18 20 44 48 56 78 90 284 296 318 326 330 354 356 374	14976073806
STPT(10)	2682021592284427817	0 2 54 56 72 74 90 92 144 146	367190310840
SPT(16)	2682021691750309427	0 12 26 80 156 176 186 194 252 260 270 290 366 420 434 446	466656192450
SPT(16)	2682022210743022913	0 38 56 90 120 140 146 156 308 318 324 344 374 408 426 464	985648905936
SPT(16)	2682022292999029571	0 6 12 56 152 156 180 206 222 248 272 276 372 416 422 428	1067904912594