Prime p₀= 2393137616193520319 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 60 62
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: 62
Found by: Landjunge
db: batch=81, k=10, 2 10 2 16 2

SPT(16)	2393136794215198873	0 76 114 150 156 184 210 246 268 304 330 358 364 400 438 514	-821978321446
SPT(18)	2393136874644248471	0 48 72 90 116 128 170 176 200 228 252 258 300 312 338 356 380 428	-741549271848
SPT(16)	2393137162092706889	0 12 18 30 62 80 132 158 264 290 342 360 392 404 410 422	-454100813430
SPT(16)	2393137191976093399	0 72 102 124 172 174 238 280 312 354 418 420 468 490 520 592	-424217426920
STPT(10)	2393137465185201149	0 2 18 20 30 32 42 44 60 62	-151008319170
STPT(10)	2393137556520899759	0 2 18 20 30 32 42 44 60 62	-59672620560
SPT(16)	2393137984502237347	0 12 82 126 216 256 280 286 390 396 420 460 550 594 664 676	368308717028
STPT(10)	2393138047786948067	0 2 60 62 72 74 84 86 144 146	431593427748
SPT(16)	2393138215017018809	0 20 32 44 54 98 104 114 158 168 174 218 228 240 252 272	598823498490
STPT(10)	2393138260320153527	0 2 30 32 42 44 54 56 84 86	644126633208
SPT(16)	2393138330861328731	0 18 32 50 108 162 170 192 218 240 248 302 360 378 392 410	714667808412