Prime p₀= 2708169116824699907 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Ben
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2708166857598627077	0 6 30 72 92 102 126 176 240 290 314 324 344 386 410 416	-2259226072830
SPT(16)	2708167753087303319	0 50 80 114 120 134 152 164 168 180 198 212 218 252 282 332	-1363737396588
SPT(13)	2708167919072421721	0 42 90 102 126 132 156 180 186 210 222 270 312	-1197752278186
STPT(10)	2708168346801182729	0 2 48 50 60 62 72 74 120 122	-770023517178
STPT(10)	2708168726427824897	0 2 12 14 42 44 72 74 84 86	-390396875010
STPT(10)	2708168894650864649	0 2 12 14 90 92 168 170 180 182	-222173835258
SPT(16)	2708169298666732091	0 2 32 60 80 90 92 126 206 240 242 252 272 300 330 332	181842032184
SPT(16)	2708169404994719243	0 14 110 188 216 240 246 260 264 278 284 308 336 414 510 524	288170019336
SPT(16)	2708169445160112289	0 10 48 54 108 118 124 144 244 264 270 280 334 340 378 388	328335412382
SPT(16)	2708169493237397069	0 20 80 102 122 138 144 152 270 278 284 300 320 342 402 422	376412697162
SPT(16)	2708169560534442661	0 12 28 60 72 82 100 138 172 210 228 238 250 282 298 310	443709742754