Prime p₀= 2039208116804768981 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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: 158
Found by: Ben
db: batch=80, k=10, 2 28 2 46 2

SPT(16)	2039207056094728501	0 28 42 88 100 102 126 130 168 172 196 198 210 256 270 298	-1060710040480
SPT(18)	2039207224073388877	0 34 36 70 82 100 102 106 132 154 180 184 186 204 216 250 252 286	-892731380104
SPT(16)	2039207266749878473	0 6 40 66 70 78 84 120 154 190 196 204 208 234 268 274	-850054890508
STPT(10)	2039207473244971649	0 2 12 14 90 92 168 170 180 182	-643559797332
SPT(16)	2039207658306080749	0 70 84 114 180 208 324 328 330 334 450 478 544 574 588 658	-458498688232
STPT(10)	2039207755930501769	0 2 18 20 30 32 42 44 60 62	-360874267212
STPT(10)	2039208149223371627	0 2 54 56 72 74 90 92 144 146	32418602646
SPT(16)	2039208389439540107	0 12 90 96 132 144 152 162 164 174 182 194 230 236 314 326	272634771126
STPT(10)	2039208556764226877	0 2 30 32 42 44 54 56 84 86	439959457896
STPT(10)	2039208618825816047	0 2 30 32 120 122 210 212 240 242	502021047066
STPT(10)	2039208700668127169	0 2 18 20 30 32 42 44 60 62	583863358188