Prime p₀= 2501099383991996477 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: JayPi
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2501098701367511983	0 30 84 96 156 180 184 190 210 216 220 244 304 316 370 400	-682624484494
STPT(10)	2501098721361662249	0 2 42 44 60 62 78 80 120 122	-662630334228
STPT(10)	2501099049509543687	0 2 12 14 42 44 72 74 84 86	-334482452790
SPT(16)	2501099145158746073	0 6 8 14 54 78 90 120 284 314 326 350 390 396 398 404	-238833250404
SPT(16)	2501099200135901683	0 96 108 114 174 196 216 220 264 268 288 310 370 376 388 484	-183856094794
SPT(16)	2501099373277075097	0 14 36 72 74 80 86 90 116 120 126 132 134 170 192 206	-10714921380
STPT(10)	2501099681484967391	0 2 6 8 48 50 90 92 96 98	297492970914
SPT(16)	2501099696559818143	0 18 34 54 58 70 76 88 96 108 114 126 130 150 166 184	312567821666
STPT(10)	2501099704575821519	0 2 18 20 30 32 42 44 60 62	320583825042
SPT(16)	2501099885402137807	0 34 42 100 106 162 184 240 286 342 364 420 426 484 492 526	501410141330
SPT(16)	2501100526413089213	0 54 96 98 116 140 144 156 158 170 174 198 216 218 260 314	1142421092736