Prime p₀= 2310334007413381289 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: FritzB
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2310332968419203587	0 46 54 70 72 90 100 112 144 156 166 184 186 202 210 256	-1038994177702
STPT(10)	2310333298341478349	0 2 18 20 60 62 102 104 120 122	-709071902940
SPT(16)	2310333331442962957	0 22 52 60 76 102 106 126 130 150 154 180 196 204 234 256	-675970418332
SPT(16)	2310333827120732339	0 12 62 98 134 164 170 198 314 342 348 378 414 450 500 512	-180292648950
STPT(10)	2310333871693949999	0 2 18 20 30 32 42 44 60 62	-135719431290
STPT(10)	2310333982151922407	0 2 90 92 102 104 114 116 204 206	-25261458882
STPT(10)	2310334167323155121	0 2 36 38 78 80 120 122 156 158	159909773832
SPT(16)	2310334737260119399	0 18 64 70 88 240 252 264 298 310 322 474 492 498 544 562	729846738110
SPT(16)	2310334738689220447	0 36 42 54 64 70 102 112 114 124 156 162 172 184 190 226	731275839158
SPT(16)	2310334913286499049	0 32 54 60 114 122 152 164 300 312 342 350 404 410 432 464	905873117760
SPT(16)	2310335012333428219	0 24 42 60 84 88 154 168 244 258 324 328 352 370 388 412	1004920046930