Prime p₀= 2650590006750997697 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: Dirk Broer
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2650588367878600711	0 18 30 46 60 72 102 106 282 286 316 328 342 358 370 388	-1638872396986
SPT(16)	2650588688810082677	0 12 30 44 60 72 74 104 150 180 182 194 210 224 242 254	-1317940915020
SPT(16)	2650588933660992301	0 22 70 76 90 136 148 178 330 360 372 418 432 438 486 508	-1073090005396
SPT(16)	2650589260221153961	0 22 42 48 78 162 202 208 240 246 286 370 400 406 426 448	-746529843736
STPT(10)	2650589470113779807	0 2 30 32 42 44 54 56 84 86	-536637217890
STPT(10)	2650589916661958111	0 2 36 38 78 80 120 122 156 158	-90089039586
STPT(10)	2650590366602866157	0 2 30 32 42 44 54 56 84 86	359851868460
SPT(16)	2650590483758868647	0 6 12 24 36 80 152 164 222 234 306 350 362 374 380 386	477007870950
STPT(10)	2650590669939264509	0 2 42 44 120 122 198 200 240 242	663188266812
STPT(10)	2650591051362521051	0 2 36 38 78 80 120 122 156 158	1044611523354
SPT(16)	2650591237372000259	0 8 42 74 84 108 162 168 194 200 254 278 288 320 354 362	1230621002562