Prime p₀= 2130044742292557029 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: vaughan
db: batch=80, k=10, 2 16 2 10 2

STPT(10)	2130043524719282867	0 2 114 116 162 164 210 212 324 326	-1217573274162
SPT(16)	2130043590415766999	0 2 8 30 42 72 102 150 212 260 290 320 332 354 360 362	-1151876790030
SPT(16)	2130043830515043049	0 22 34 60 70 84 94 132 292 330 340 354 364 390 402 424	-911777513980
STPT(10)	2130044343112557959	0 2 42 44 90 92 138 140 180 182	-399179999070
SPT(16)	2130044484581373103	0 6 24 28 76 78 108 150 154 196 226 228 276 280 298 304	-257711183926
SPT(16)	2130044691621464659	0 52 54 82 88 132 138 280 282 424 430 474 480 508 510 562	-50671092370
STPT(10)	2130045044789525837	0 2 30 32 42 44 54 56 84 86	302496968808
SPT(16)	2130045322902151007	0 6 26 42 56 84 140 146 210 216 272 300 314 330 350 356	580609593978
STPT(12)	2130046333428833849	0 2 30 32 42 44 108 110 120 122 150 152	1591136276820
STPT(10)	2130046430729161031	0 2 6 8 48 50 90 92 96 98	1688436604002
SPT(16)	2130046881611474153	0 18 66 98 116 150 188 228 338 378 416 450 468 500 548 566	2139318917124