Prime p₀= 2499421316712750317 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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 22 2 16 2

SPT(16)	2499420048133531519	0 10 52 58 72 84 100 138 154 192 208 220 234 240 282 292	-1268579218798
SPT(16)	2499420297515445443	0 116 126 128 140 144 170 206 258 294 320 324 336 338 348 464	-1019197304874
STPT(10)	2499420325365838877	0 2 30 32 72 74 114 116 144 146	-991346911440
SPT(16)	2499420335718711121	0 40 90 126 166 210 280 282 346 348 418 462 502 538 588 628	-980994039196
STPT(10)	2499420597718397489	0 2 12 14 90 92 168 170 180 182	-718994352828
SPT(16)	2499421230907040603	0 18 50 78 104 120 140 164 270 294 314 330 356 384 416 434	-85805709714
STPT(10)	2499421529285729297	0 2 12 14 42 44 72 74 84 86	212572978980
SPT(16)	2499421715847911801	0 6 20 38 42 50 60 140 378 458 468 476 480 498 512 518	399135161484
SPT(16)	2499421885911414179	0 14 20 50 62 72 84 104 108 128 140 150 162 192 198 212	569198663862
STPT(10)	2499421916103731147	0 2 60 62 72 74 84 86 144 146	599390980830
SPT(16)	2499421995761454541	0 10 42 60 66 82 96 108 130 142 156 172 178 196 228 238	679048704224