Prime p₀= 2126346434686453907 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: vaughan
db: batch=80, k=10, 2 28 2 40 2

SPT(16)	2126345740983595223	0 24 50 66 86 120 164 224 396 456 500 534 554 570 596 620	-693702858684
STPT(12)	2126346029725512191	0 2 36 38 156 158 210 212 330 332 366 368	-404960941716
SPT(16)	2126346092391546847	0 12 22 70 94 100 132 154 162 184 216 222 246 294 304 316	-342294907060
STPT(10)	2126346112049543957	0 2 24 26 42 44 60 62 84 86	-322636909950
STPT(10)	2126346159482020667	0 2 90 92 102 104 114 116 204 206	-275204433240
SPT(16)	2126346166809392587	0 16 42 52 70 72 132 156 160 184 244 246 264 274 300 316	-267877061320
STPT(10)	2126346752779335599	0 2 30 32 120 122 210 212 240 242	318092881692
STPT(10)	2126346946487738321	0 2 6 8 48 50 90 92 96 98	511801284414
SPT(16)	2126346948927649933	0 114 156 190 196 216 238 240 244 246 268 288 294 328 370 484	514241196026
SPT(16)	2126347102627690399	0 4 72 118 142 150 184 190 282 288 322 330 354 400 468 472	667941236492
SPT(16)	2126347347454839967	0 16 22 54 72 82 94 162 184 252 264 274 292 324 330 346	912768386060