Prime p₀= 2402442742769778617 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: SEARCHER
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2402441445625419677	0 12 30 42 120 152 164 204 212 252 264 296 374 386 404 416	-1297144358940
STPT(10)	2402441766737273489	0 2 42 44 90 92 138 140 180 182	-976032505128
TPT(14)	2402441909712691109	0 2 18 20 30 32 102 104 180 182 198 200 222 224	-833057087508
SPT(16)	2402441930472345133	0 10 28 30 66 106 130 168 256 294 318 358 394 396 414 424	-812297433484
SPT(16)	2402442149435780581	0 16 42 76 96 120 150 160 198 208 238 262 282 316 342 358	-593333998036
SPT(16)	2402442178029710651	0 8 50 132 162 170 182 230 240 288 300 308 338 420 462 470	-564740067966
STPT(10)	2402443046354322689	0 2 48 50 90 92 132 134 180 182	303584544072
SPT(16)	2402443056443479033	0 10 24 34 48 64 70 106 138 174 180 196 210 220 234 244	313673700416
STPT(10)	2402443236368098409	0 2 12 14 90 92 168 170 180 182	493598319792
SPT(16)	2402443246483299581	0 2 42 48 80 86 116 122 126 132 162 168 200 206 246 248	503713520964
STPT(10)	2402443291859347019	0 2 48 50 90 92 132 134 180 182	549089568402