Prime p₀= 2978781841467119717 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 88 2 88 2 28 2 (?)
a_n: 0 2 30 32 120 122 210 212 240 242
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: 242
Found by: [SG-FC] hl
db: batch=82, k=10, 2 28 2 88 2

SPT(16)	2978780266210610357	0 14 42 66 84 122 144 156 200 212 234 272 290 314 342 356	-1575256509360
STPT(10)	2978780751483476879	0 2 18 20 60 62 102 104 120 122	-1089983642838
SPT(16)	2978780817498216851	0 38 60 96 182 198 206 242 246 282 290 306 392 428 450 488	-1023968902866
SPT(16)	2978780895460467899	0 50 68 72 128 132 152 180 302 330 350 354 410 414 432 482	-946006651818
SPT(16)	2978781371899417181	0 30 62 102 110 140 252 282 296 326 438 468 476 516 548 578	-469567702536
STPT(10)	2978781672879707267	0 2 42 44 72 74 102 104 144 146	-168587412450
STPT(10)	2978782070844101939	0 2 18 20 30 32 42 44 60 62	229376982222
SPT(16)	2978782092067449589	0 34 54 60 78 82 84 132 160 208 210 214 232 238 258 292	250600329872
SPT(16)	2978782180104344479	0 10 12 22 28 52 78 82 90 94 120 144 150 160 162 172	338637224762
STPT(10)	2978782303813119887	0 2 30 32 72 74 114 116 144 146	462346000170
SPT(16)	2978782436712015589	0 12 40 42 60 64 108 174 208 274 318 322 340 342 370 382	595244895872