Prime p₀= 2070536456840816579 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: Landjunge
db: batch=80, k=10, 2 16 2 10 2

SPT(16)	2070533682772181111	0 8 20 38 80 132 198 242 258 302 368 420 462 480 492 500	-2774068635468
STPT(10)	2070534136572337559	0 2 12 14 30 32 48 50 60 62	-2320268479020
STPT(10)	2070534189768091667	0 2 42 44 72 74 102 104 144 146	-2267072724912
SPT(16)	2070535473451356343	0 6 40 46 60 84 90 106 108 124 130 154 168 174 208 214	-983389460236
SPT(16)	2070536096797607507	0 14 50 60 90 134 182 222 224 264 312 356 386 396 432 446	-360043209072
TPT(14)	2070536178381702191	0 2 18 20 30 32 66 68 96 98 138 140 186 188	-278459114388
STPT(10)	2070536795970865217	0 2 30 32 72 74 114 116 144 146	339130048638
SPT(16)	2070536907676715119	0 82 108 124 160 162 168 174 208 214 220 222 258 274 300 382	450835898540
SPT(16)	2070537106092013151	0 26 36 66 92 162 180 192 236 248 266 336 362 392 402 428	649251196572
SPT(16)	2070537156623753267	0 80 92 116 126 134 186 204 212 230 282 290 300 324 336 416	699782936688
STPT(12)	2070537185093066069	0 2 30 32 42 44 78 80 90 92 120 122	728252249490