Prime p₀= 1190877270371676887 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: Theadalus
db: batch=77, k=10, 2 22 2 16 2

SPT(16)	1190875883862378281	0 32 60 78 110 120 128 152 168 192 200 210 242 260 288 320	-1386509298606
STPT(10)	1190876690831111951	0 2 6 8 18 20 30 32 36 38	-579540564936
SPT(16)	1190876695037694727	0 6 46 100 112 126 132 142 210 220 226 240 252 306 346 352	-575333982160
STPT(10)	1190876868089744621	0 2 30 32 60 62 90 92 120 122	-402281932266
SPT(16)	1190877051809624899	0 10 12 24 30 42 100 180 184 264 322 334 340 352 354 364	-218562051988
SPT(16)	1190877078464236067	0 66 80 92 104 132 176 186 230 240 284 312 324 336 350 416	-191907440820
STPT(10)	1190877584295222821	0 2 6 8 48 50 90 92 96 98	313923545934
SPT(16)	1190877768774897061	0 42 66 78 136 138 148 150 178 180 190 192 250 262 286 328	498403220174
STPT(10)	1190878006827294827	0 2 30 32 42 44 54 56 84 86	736455617940
TPT(14)	1190878230204292181	0 2 66 68 126 128 138 140 156 158 180 182 186 188	959832615294
SPT(16)	1190878280475676139	0 12 44 54 78 90 120 182 300 362 392 404 428 438 470 482	1010103999252