Prime p₀= 2499341890133749979 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 46 2 46 2 40 2 (?)
a_n: 0 2 42 44 90 92 138 140 180 182
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: 182
Found by: Penguin
db: batch=82, k=10, 2 40 2 46 2

SPT(16)	2499340212483090281	0 56 60 86 156 162 170 188 240 258 266 272 342 368 372 428	-1677650659698
STPT(10)	2499340229664605021	0 2 30 32 60 62 90 92 120 122	-1660469144958
STPT(10)	2499340255835137007	0 2 42 44 72 74 102 104 144 146	-1634298612972
STPT(10)	2499340460062649351	0 2 30 32 78 80 126 128 156 158	-1430071100628
SPT(16)	2499341022801543761	0 12 36 38 42 78 86 98 180 192 200 236 240 242 266 278	-867332206218
SPT(16)	2499341335644223153	0 10 28 54 88 154 160 166 228 234 240 306 340 366 384 394	-554489526826
STPT(10)	2499341898601264229	0 2 42 44 60 62 78 80 120 122	8467514250
STPT(10)	2499342319319867849	0 2 18 20 60 62 102 104 120 122	429186117870
SPT(16)	2499342497294701909	0 34 78 102 114 142 154 198 214 258 270 298 310 334 378 412	607160951930
SPT(16)	2499342582945295621	0 22 42 46 70 72 76 102 130 156 160 162 186 190 210 232	692811545642
SPT(16)	2499343122589902613	0 40 70 78 100 118 126 156 160 190 198 216 238 246 276 316	1232456152634