Prime p₀= 2808398119295754257 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: [SG-FC] hl
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2808396048923802301	0 28 40 52 96 118 126 132 136 142 150 172 216 228 240 268	-2070371951956
SPT(16)	2808396212105785109	0 84 98 102 138 144 152 168 314 330 338 344 380 384 398 482	-1907189969148
SPT(16)	2808397037835122821	0 16 42 52 190 196 198 220 258 280 282 288 426 436 462 478	-1081460631436
STPT(10)	2808397109949104519	0 2 18 20 30 32 42 44 60 62	-1009346649738
SPT(16)	2808397868762585041	0 18 40 76 88 118 132 148 150 166 180 210 222 258 280 298	-250533169216
STPT(10)	2808397906051840757	0 2 54 56 72 74 90 92 144 146	-213243913500
SPT(16)	2808398271995815987	0 12 34 82 96 112 120 174 202 256 264 280 294 342 364 376	152700061730
TPT(14)	2808398312627020151	0 2 78 80 120 122 126 128 210 212 258 260 330 332	193331265894
TPT(14)	2808398383190244347	0 2 24 26 42 44 60 62 114 116 180 182 222 224	263894490090
SPT(16)	2808398730073065179	0 12 78 92 122 134 168 264 278 374 408 420 450 464 530 542	610777310922
SPT(16)	2808399008898356659	0 24 34 64 84 102 120 214 258 352 370 388 408 438 448 472	889602602402