Prime p₀= 2623867235290622777 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: JayPi
db: batch=82, k=10, 2 28 2 10 2

TPT(14)	2623866176654126867	0 2 24 26 72 74 180 182 192 194 222 224 240 242	-1058636495910
SPT(16)	2623866325964013661	0 16 46 82 100 102 108 126 142 160 166 168 186 222 252 268	-909326609116
STPT(10)	2623866509591702189	0 2 42 44 150 152 258 260 300 302	-725698920588
TPT(16)	2623866972421409369	0 2 30 32 72 74 90 92 210 212 252 254 342 344 378 380	-262869213408
TPT(14)	2623867011367526999	0 2 18 20 48 50 72 74 138 140 198 200 222 224	-223923095778
STPT(10)	2623867015574358611	0 2 30 32 78 80 126 128 156 158	-219716264166
SPT(16)	2623867274289910907	0 14 74 90 122 140 144 156 200 212 216 234 266 282 342 356	38999288130
SPT(16)	2623867538506882219	0 10 90 180 214 238 268 270 292 294 324 348 382 472 552 562	303216259442
SPT(16)	2623867623217167911	0 2 42 48 62 72 110 146 162 198 236 246 260 266 306 308	387926545134
SPT(16)	2623867829899974223	0 24 30 48 76 124 150 156 178 184 210 258 286 304 310 334	594609351446
STPT(10)	2623868005974613439	0 2 18 20 30 32 42 44 60 62	770683990662