Prime p₀= 1126650541819023899 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: crashtech
db: batch=76, k=10, 2 16 2 10 2

STPT(10)	1126648618620257099	0 2 48 50 90 92 132 134 180 182	-1923198766800
SPT(16)	1126649202860744869	0 88 102 208 238 270 280 304 348 372 382 414 444 550 564 652	-1338958279030
SPT(16)	1126649359212599501	0 6 12 42 48 56 96 122 126 152 192 200 206 236 242 248	-1182606424398
SPT(16)	1126649633485547851	0 12 70 78 120 138 150 166 252 268 280 298 340 348 406 418	-908333476048
STPT(10)	1126649703957007331	0 2 6 8 48 50 90 92 96 98	-837862016568
STPT(10)	1126650216111443237	0 2 30 32 42 44 54 56 84 86	-325707580662
STPT(10)	1126650768229522301	0 2 78 80 108 110 138 140 216 218	226410498402
SPT(16)	1126651131850828127	0 20 32 90 180 216 224 302 354 432 440 476 566 624 636 656	590031804228
SPT(16)	1126651609308797443	0 6 46 60 100 120 156 174 226 244 280 300 340 354 394 400	1067489773544
STPT(12)	1126652175463846439	0 2 18 20 42 44 48 50 72 74 90 92	1633644822540
STPT(10)	1126652179795055201	0 2 36 38 78 80 120 122 156 158	1637976031302