Prime p₀= 3091438378105487297 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: suriv
db: batch=83, k=10, 2 28 2 10 2

SPT(16)	3091436505683859617	0 12 14 26 50 74 92 140 216 264 282 306 330 342 344 356	-1872421627680
STPT(10)	3091436568613467287	0 2 42 44 132 134 222 224 264 266	-1809492020010
STPT(10)	3091437235685806919	0 2 18 20 30 32 42 44 60 62	-1142419680378
SPT(16)	3091437355619182061	0 8 60 72 98 128 150 182 186 218 240 270 296 308 360 368	-1022486305236
SPT(16)	3091437616114798567	0 22 36 96 130 166 234 250 276 292 360 396 430 490 504 526	-761990688730
STPT(10)	3091438030908693251	0 2 30 32 78 80 126 128 156 158	-347196794046
STPT(10)	3091439067228731111	0 2 6 8 48 50 90 92 96 98	689123243814
SPT(16)	3091439422829199803	0 18 36 50 54 86 98 138 176 216 228 260 264 278 296 314	1044723712506
SPT(16)	3091439571940589633	0 8 14 24 38 66 78 80 84 86 98 126 140 150 156 164	1193835102336
SPT(16)	3091439593452812933	0 14 48 80 84 104 126 170 204 248 270 290 294 326 360 374	1215347325636
TPT(14)	3091439801747677811	0 2 90 92 138 140 210 212 378 380 396 398 426 428	1423642190514