Prime p₀= 4643820563231681729 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: [SG-2W]Kurzer
db: batch=85, k=10, 2 16 2 10 2

SPT(16)	4643819625904879499	0 18 24 32 74 78 134 144 248 258 314 318 360 368 374 392	-937326802230
STPT(10)	4643819773377452951	0 2 6 8 48 50 90 92 96 98	-789854228778
SPT(16)	4643820322652925233	0 84 86 110 144 164 176 234 296 354 366 386 420 444 446 530	-240578756496
SPT(16)	4643820337503108557	0 60 96 102 126 134 174 222 224 272 312 320 344 350 386 446	-225728573172
SPT(22)	4643820406163331623	0 6 60 110 128 180 194 198 236 240 314 360 434 438 476 480 494 546 564 614 668 674	-157068350106
SPT(16)	4643820481865201869	0 12 24 42 58 78 88 94 198 204 214 234 250 268 280 292	-81366479860
SPT(16)	4643820674678348201	0 12 20 56 90 122 146 150 152 156 180 212 246 282 290 302	111446666472
SPT(16)	4643821374979893863	0 8 14 26 30 60 116 126 128 138 194 224 228 240 246 254	811748212134
TPT(14)	4643821493026121969	0 2 12 14 138 140 222 224 252 254 258 260 318 320	929794440240
SPT(16)	4643821503841663841	0 8 62 90 92 102 140 158 162 180 218 228 230 258 312 320	940609982112
SPT(16)	4643821728923971639	0 34 42 48 52 84 90 112 300 322 328 360 364 370 378 412	1165692289910