Prime p₀= 2113071600584022059 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: Landjunge
db: batch=80, k=10, 2 40 2 16 2

SPT(16)	2113070710226894239	0 24 34 52 108 112 118 132 160 174 180 184 240 258 268 292	-890357127820
STPT(10)	2113070909163101957	0 2 24 26 42 44 60 62 84 86	-691420920102
SPT(16)	2113070936551433993	0 18 24 30 38 54 56 66 128 138 140 156 164 170 176 194	-664032588066
SPT(16)	2113071008957418121	0 28 72 96 112 118 126 208 210 292 300 306 322 346 390 418	-591626603938
STPT(10)	2113071085270488521	0 2 6 8 48 50 90 92 96 98	-515313533538
STPT(10)	2113071255863361881	0 2 6 8 48 50 90 92 96 98	-344720660178
SPT(16)	2113071678171619657	0 4 46 70 112 130 136 142 144 150 156 174 216 240 282 286	77587597598
SPT(16)	2113071878820325739	0 44 68 108 134 164 200 224 264 288 324 354 380 420 444 488	278236303680
SPT(16)	2113071923737125053	0 8 30 98 104 150 164 176 288 300 314 360 366 434 456 464	323153102994
SPT(16)	2113071941419791269	0 12 30 60 74 84 120 128 294 302 338 348 362 392 410 422	340835769210
SPT(16)	2113072035458507729	0 50 72 78 128 162 168 180 242 254 260 294 344 350 372 422	434874485670