Prime p₀= 1271957366141022107 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: raddoc
db: batch=77, k=10, 2 28 2 10 2

STPT(10)	1271956643082590831	0 2 36 38 78 80 120 122 156 158	-723058431276
SPT(16)	1271956768174735919	0 20 48 50 92 108 132 174 338 380 404 420 462 464 492 512	-597966286188
SPT(16)	1271956792462474837	0 10 36 90 94 96 112 132 154 174 190 192 196 250 276 286	-573678547270
TPT(14)	1271956867248937979	0 2 30 32 42 44 132 134 168 170 228 230 258 260	-498892084128
SPT(16)	1271956889128596311	0 36 68 90 92 102 110 120 158 168 176 186 188 210 242 278	-477012425796
SPT(16)	1271956991785008517	0 22 42 72 84 132 160 192 202 234 262 310 322 352 372 394	-374356013590
SPT(16)	1271957579526706649	0 24 84 92 104 108 114 132 170 188 194 198 210 218 278 302	213385684542
SPT(16)	1271957688766862579	0 32 42 48 74 80 84 102 110 128 132 138 164 170 180 212	322625840472
SPT(16)	1271957879701963463	0 44 50 60 74 140 174 224 276 326 360 426 440 450 456 500	513560941356
SPT(16)	1271958166918310849	0 14 24 54 60 80 98 132 200 234 252 272 278 308 318 332	800777288742
STPT(10)	1271958183118832549	0 2 18 20 30 32 42 44 60 62	816977810442