Prime p₀= 2534415829123894559 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: JayPi
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2534414233256225821	0 30 42 48 76 88 90 112 186 208 210 222 250 256 268 298	-1595867668738
STPT(10)	2534414344502034341	0 2 6 8 48 50 90 92 96 98	-1484621860218
SPT(16)	2534414762541840851	0 26 56 60 66 98 122 150 158 186 210 242 248 252 282 308	-1066582053708
STPT(10)	2534415313830379097	0 2 24 26 42 44 60 62 84 86	-515293515462
SPT(16)	2534415484092291133	0 24 36 60 70 88 124 190 234 300 336 354 364 388 400 424	-345031603426
TPT(14)	2534415592525127189	0 2 48 50 72 74 240 242 258 260 282 284 438 440	-236598767370
STPT(10)	2534416287912031067	0 2 30 32 42 44 54 56 84 86	458788136508
STPT(10)	2534416426791997799	0 2 18 20 60 62 102 104 120 122	597668103240
SPT(16)	2534416569290741251	0 28 30 48 70 76 96 100 156 160 180 186 208 226 228 256	740166846692
STPT(10)	2534416700677140857	0 2 30 32 42 44 54 56 84 86	871553246298
STPT(10)	2534417168817937589	0 2 18 20 30 32 42 44 60 62	1339694043030