Prime p₀= 1368350738946632429 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: emoga
db: batch=77, k=10, 2 16 2 10 2

STPT(10)	1368349685870048909	0 2 18 20 30 32 42 44 60 62	-1053076583520
TPT(14)	1368349764240970727	0 2 54 56 60 62 144 146 150 152 210 212 234 236	-974705661702
SPT(16)	1368349818158858569	0 34 42 48 58 90 94 100 102 108 112 144 154 160 168 202	-920787773860
SPT(16)	1368350188011813653	0 48 80 104 140 150 164 180 374 390 404 414 450 474 506 554	-550934818776
SPT(16)	1368350289509688937	0 6 12 22 82 96 112 132 190 210 226 240 300 310 316 322	-449436943492
STPT(10)	1368350405796482189	0 2 48 50 90 92 132 134 180 182	-333150150240
SPT(16)	1368350912575288319	0 20 62 90 98 122 234 240 242 248 360 384 392 420 462 482	173628655890
SPT(16)	1368350920161715627	0 4 34 112 130 132 166 180 196 210 244 246 264 342 372 376	181215083198
TPT(14)	1368351253555165739	0 2 12 14 138 140 192 194 198 200 228 230 318 320	514608533310
STPT(10)	1368351286054344047	0 2 30 32 42 44 54 56 84 86	547107711618
TPT(14)	1368351407680691501	0 2 18 20 90 92 138 140 168 170 198 200 300 302	668734059072