Prime p₀= 2798017241581097321 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: [SG-FC] hl
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	2798015833920668941	0 10 72 90 100 108 142 172 198 228 262 270 280 298 360 370	-1407660428380
SPT(18)	2798016080745371203	0 40 48 120 130 180 214 238 240 298 300 324 358 408 418 490 498 538	-1160835726118
STPT(10)	2798016156559303871	0 2 36 38 78 80 120 122 156 158	-1085021793450
SPT(13)	2798016426672521209	0 42 72 150 192 210 240 270 288 330 408 438 480	-814908576112
TPT(14)	2798016955539407891	0 2 78 80 156 158 168 170 186 188 246 248 300 302	-286041689430
SPT(16)	2798017106327459899	0 10 54 138 168 180 232 234 238 240 292 304 334 418 462 472	-135253637422
STPT(10)	2798017393840712801	0 2 6 8 18 20 30 32 36 38	152259615480
SPT(16)	2798017683831445633	0 24 64 126 130 136 166 210 214 258 288 294 298 360 400 424	442250348312
SPT(16)	2798018292550611271	0 12 22 30 40 78 82 100 168 186 190 228 238 246 256 268	1050969513950
STPT(10)	2798018935303544177	0 2 30 32 42 44 54 56 84 86	1693722446856
SPT(16)	2798019068872985759	0 2 32 42 62 74 114 140 174 200 240 252 272 282 312 314	1827291888438