Prime p₀= 2004277458699696137 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: LeChat51X
db: batch=80, k=10, 2 22 2 16 2

TPT(14)	2004276234129289649	0 2 12 14 48 50 72 74 138 140 240 242 258 260	-1224570406488
SPT(16)	2004276467884406071	0 6 10 42 48 66 76 82 126 132 142 160 166 198 202 208	-990815290066
STPT(10)	2004276490536841229	0 2 42 44 60 62 78 80 120 122	-968162854908
SPT(16)	2004276707422285181	0 90 116 132 152 186 216 240 242 266 296 330 350 366 392 482	-751277410956
SPT(16)	2004276942614329651	0 10 52 72 90 118 120 132 298 310 312 340 358 378 420 430	-516085366486
STPT(10)	2004277094691831917	0 2 12 14 42 44 72 74 84 86	-364007864220
SPT(16)	2004277477471689239	0 30 32 42 114 134 144 218 234 308 318 338 410 420 422 452	18771993102
STPT(10)	2004277535247602891	0 2 90 92 168 170 246 248 336 338	76547906754
SPT(16)	2004278196078092791	0 36 72 90 120 142 148 216 262 330 336 358 388 406 442 478	737378396654
SPT(16)	2004278306936294563	0 10 30 88 94 174 198 238 240 280 304 384 390 448 468 478	848236598426
SPT(16)	2004278511665007913	0 10 60 70 84 150 174 184 186 196 220 286 300 310 360 370	1052965311776