Prime p₀= 1263444999973587029 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 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: Megacruncher
db: batch=77, k=10, 2 16 2 10 2

STPT(10)	1263443875033720319	0 2 18 20 30 32 42 44 60 62	-1124939866710
SPT(16)	1263443878014997741	0 18 52 72 90 100 108 142 228 262 270 280 298 318 352 370	-1121958589288
SPT(16)	1263444433823314331	0 12 36 50 72 96 116 128 150 162 182 206 228 242 266 278	-566150272698
TPT(14)	1263444468896434379	0 2 78 80 90 92 162 164 168 170 240 242 282 284	-531077152650
STPT(10)	1263444665434893827	0 2 12 14 42 44 72 74 84 86	-334538693202
SPT(16)	1263444809198759437	0 22 66 82 120 162 222 286 306 370 430 472 510 526 570 592	-190774827592
SPT(20)	1263445070674478677	0 10 12 30 72 82 90 112 126 220 282 376 390 412 420 430 472 490 492 502	70700891648
STPT(10)	1263445489383697589	0 2 12 14 30 32 48 50 60 62	489410110560
STPT(10)	1263445640011965491	0 2 6 8 48 50 90 92 96 98	640038378462
SPT(16)	1263445701201371321	0 6 36 50 60 62 72 116 156 200 210 212 222 236 266 272	701227784292
STPT(10)	1263445924241572607	0 2 30 32 42 44 54 56 84 86	924267985578