Prime p₀= 2678278672188270647 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: [SG-2W]Kurzer
db: batch=82, k=10, 2 10 2 28 2

STPT(10)	2678277472798816121	0 2 36 38 78 80 120 122 156 158	-1199389454526
SPT(16)	2678277534930835049	0 44 80 84 108 114 132 150 182 200 218 224 248 252 288 332	-1137257435598
SPT(13)	2678278038041361163	0 18 78 84 90 114 144 174 198 204 210 270 288	-634146909484
SPT(16)	2678278313758738259	0 18 24 44 72 90 92 140 192 240 242 260 288 308 314 332	-358429532388
SPT(16)	2678278534891350949	0 12 42 70 82 112 180 204 220 244 312 342 354 382 412 424	-137296919698
SPT(16)	2678278628467669771	0 48 78 82 88 192 196 228 280 312 316 420 426 430 460 508	-43720600876
SPT(16)	2678278699440222919	0 40 54 78 84 94 120 124 204 208 234 244 250 274 288 328	27251952272
SPT(16)	2678279281885093567	0 4 84 114 184 186 196 214 252 270 280 282 352 382 462 466	609696822920
STPT(10)	2678279370912926549	0 2 18 20 30 32 42 44 60 62	698724655902
STPT(10)	2678279491947093911	0 2 30 32 60 62 90 92 120 122	819758823264
SPT(16)	2678279760365247847	0 6 22 40 42 64 72 76 120 124 132 154 156 174 190 196	1088176977200