Prime p₀= 2827121287528714637 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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 22 2 16 2

SPT(16)	2827120212209827207	0 22 64 76 100 102 114 130 216 232 244 246 270 282 324 346	-1075318887430
SPT(16)	2827120330363211371	0 30 40 48 88 102 130 132 166 168 196 210 250 258 268 298	-957165503266
SPT(16)	2827120378524164453	0 38 44 54 86 104 164 198 206 240 300 318 350 360 366 404	-909004550184
SPT(16)	2827120598058390929	0 38 44 78 114 122 138 144 218 224 240 248 284 318 324 362	-689470323708
SPT(16)	2827120992170979307	0 24 40 42 60 66 82 96 100 114 130 136 154 156 172 196	-295357735330
SPT(16)	2827121002742139547	0 10 22 36 54 90 114 156 160 202 226 262 280 294 306 316	-284786575090
TPT(14)	2827121379827957351	0 2 66 68 96 98 150 152 198 200 228 230 270 272	92299242714
SPT(16)	2827121937443558501	0 6 18 42 50 132 222 270 308 356 446 528 536 560 572 578	649914843864
STPT(10)	2827121939963638517	0 2 12 14 72 74 132 134 144 146	652434923880
SPT(16)	2827122077809598687	0 2 26 72 126 132 170 222 224 276 314 320 374 420 444 446	790280884050
STPT(10)	2827122277291036391	0 2 6 8 18 20 30 32 36 38	989762321754