Prime p₀= 2113410262606374617 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 16 2 16 2 52 2 (?)
a_n: 0 2 54 56 72 74 90 92 144 146
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: 146
Found by: Landjunge
db: batch=80, k=10, 2 52 2 16 2

SPT(16)	2113409363434213541	0 12 26 30 32 42 56 78 110 132 146 156 158 162 176 188	-899172161076
STPT(10)	2113409591860341239	0 2 12 14 90 92 168 170 180 182	-670746033378
STPT(10)	2113409856758849819	0 2 18 20 60 62 102 104 120 122	-405847524798
STPT(10)	2113409972685721571	0 2 36 38 78 80 120 122 156 158	-289920653046
SPT(16)	2113410046140238787	0 12 32 84 86 110 116 126 200 210 216 240 242 294 314 326	-216466135830
STPT(10)	2113410102334390799	0 2 30 32 60 62 90 92 120 122	-160271983818
SPT(16)	2113410569968576297	0 12 34 42 60 82 84 90 124 130 132 154 172 180 202 214	307362201680
SPT(16)	2113411670053313081	0 78 90 116 126 128 156 176 222 242 270 272 282 308 320 398	1407446938464
SPT(16)	2113411736154453419	0 20 38 42 72 90 138 150 170 182 230 248 278 282 300 320	1473548078802
SPT(16)	2113411959952723039	0 4 30 52 54 88 172 192 310 330 414 448 450 472 498 502	1697346348422
SPT(16)	2113412072005473989	0 44 102 114 182 210 282 320 324 362 434 462 530 542 600 644	1809399099372