Prime p₀= 1126348939032350849 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 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 10 2 16 2

STPT(10)	1126346616850088069	0 2 42 44 60 62 78 80 120 122	-2322182262780
SPT(16)	1126346829437546267	0 12 56 66 144 182 192 206 210 224 234 272 350 360 404 416	-2109594804582
STPT(10)	1126346850554156687	0 2 30 32 42 44 54 56 84 86	-2088478194162
STPT(10)	1126347345535187981	0 2 6 8 18 20 30 32 36 38	-1593497162868
SPT(16)	1126347935625056219	0 12 38 54 78 92 102 110 132 140 150 164 188 204 230 242	-1003407294630
TPT(14)	1126348322198119169	0 2 42 44 48 50 90 92 120 122 162 164 270 272	-616834231680
STPT(10)	1126349118933749699	0 2 18 20 30 32 42 44 60 62	179901398850
STPT(10)	1126349313307721021	0 2 36 38 78 80 120 122 156 158	374275370172
SPT(16)	1126349315860628179	0 4 22 28 64 90 162 238 294 370 442 468 504 510 528 532	376828277330
SPT(16)	1126349741870347607	0 20 74 96 126 152 210 222 224 236 294 320 350 372 426 446	802837996758
TPT(14)	1126349824876282817	0 2 54 56 72 74 222 224 264 266 282 284 324 326	885843931968