Prime p₀= 1263444665434893827 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Megacruncher
db: batch=77, k=10, 2 10 2 28 2

SPT(16)	1263443295545254471	0 16 36 42 120 126 130 238 240 348 352 358 436 442 462 478	-1369889639356
SPT(16)	1263443686756044403	0 30 88 96 114 124 126 166 168 208 210 220 238 246 304 334	-978678849424
STPT(10)	1263443875033720319	0 2 18 20 30 32 42 44 60 62	-790401173508
SPT(16)	1263443878014997741	0 18 52 72 90 100 108 142 228 262 270 280 298 318 352 370	-787419896086
SPT(16)	1263444433823314331	0 12 36 50 72 96 116 128 150 162 182 206 228 242 266 278	-231611579496
TPT(14)	1263444468896434379	0 2 78 80 90 92 162 164 168 170 240 242 282 284	-196538459448
SPT(16)	1263444809198759437	0 22 66 82 120 162 222 286 306 370 430 472 510 526 570 592	143763865610
STPT(10)	1263444999973587029	0 2 18 20 30 32 42 44 60 62	334538693202
SPT(20)	1263445070674478677	0 10 12 30 72 82 90 112 126 220 282 376 390 412 420 430 472 490 492 502	405239584850
STPT(10)	1263445489383697589	0 2 12 14 30 32 48 50 60 62	823948803762
STPT(10)	1263445640011965491	0 2 6 8 48 50 90 92 96 98	974577071664