Prime p₀= 1538065052952339029 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: crashtech
db: batch=78, k=10, 2 16 2 10 2

SPT(16)	1538063906997575159	0 2 20 42 48 72 102 108 164 170 200 224 230 252 270 272	-1145954763870
SPT(16)	1538064535765841381	0 8 12 60 78 198 260 270 278 288 350 470 488 536 540 548	-517186497648
SPT(16)	1538064689722530667	0 34 40 66 96 102 136 172 174 210 244 250 280 306 312 346	-363229808362
SPT(16)	1538064851330127377	0 36 90 92 134 140 186 206 270 290 336 342 384 386 440 476	-201622211652
TPT(14)	1538064954224314247	0 2 12 14 42 44 54 56 84 86 90 92 114 116	-98728024782
SPT(16)	1538065026788639287	0 12 22 46 72 100 102 126 226 250 252 280 306 330 340 352	-26163699742
SPT(16)	1538065087131733241	0 56 60 78 126 156 168 186 212 230 242 272 320 338 342 398	34179394212
STPT(10)	1538065497253891421	0 2 6 8 48 50 90 92 96 98	444301552392
TPT(14)	1538065534701092567	0 2 84 86 102 104 120 122 132 134 144 146 174 176	481748753538
STPT(10)	1538065860456448637	0 2 30 32 42 44 54 56 84 86	807504109608
TPT(14)	1538066780873478617	0 2 54 56 60 62 150 152 192 194 210 212 240 242	1727921139588