Prime p₀= 2776222884458693597 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: Roadranner
db: batch=82, k=10, 2 40 2 28 2

SPT(16)	2776221821636008351	0 22 28 40 78 88 106 126 202 222 240 250 288 300 306 328	-1062822685246
STPT(10)	2776221917823576767	0 2 30 32 42 44 54 56 84 86	-966635116830
TPT(14)	2776222099914831479	0 2 30 32 72 74 168 170 198 200 300 302 312 314	-784543862118
SPT(16)	2776222418838731243	0 8 24 66 84 104 108 168 176 236 240 260 278 320 336 344	-465619962354
SPT(16)	2776222619794694183	0 68 84 138 168 180 194 198 236 240 254 266 296 350 366 434	-264663999414
SPT(16)	2776222882813827929	0 62 72 104 144 152 170 210 242 282 300 308 348 380 390 452	-1644865668
SPT(16)	2776223128925731157	0 50 60 66 122 164 180 186 200 206 222 264 320 326 336 386	244467037560
SPT(16)	2776223147847631327	0 52 76 82 84 112 130 132 214 216 234 262 264 270 294 346	263388937730
STPT(10)	2776223382412513181	0 2 36 38 78 80 120 122 156 158	497953819584
SPT(16)	2776223470601092619	0 20 24 38 72 84 132 134 198 200 248 260 294 308 312 332	586142399022
SPT(16)	2776223729483404241	0 18 30 72 90 96 98 138 200 240 242 248 266 308 320 338	845024710644