Prime p₀= 1271956458122539757 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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 10 2 28 2

SPT(13)	1271955622089532843	0 30 60 66 114 126 210 294 306 354 360 390 420	-836033006914
SPT(16)	1271955694962149291	0 30 42 68 72 90 138 152 168 182 230 248 252 278 290 320	-763160390466
SPT(13)	1271955874739593321	0 18 48 102 132 252 300 348 468 498 552 582 600	-583382946436
SPT(16)	1271955908809692149	0 30 32 38 72 102 138 168 194 224 260 290 324 330 332 362	-549312847608
SPT(16)	1271956099698292363	0 10 24 36 54 70 90 120 124 154 174 190 208 220 234 244	-358424247394
TPT(14)	1271956298956664117	0 2 54 56 60 62 84 86 144 146 210 212 222 224	-159165875640
STPT(10)	1271956643082590831	0 2 36 38 78 80 120 122 156 158	184960051074
SPT(16)	1271956768174735919	0 20 48 50 92 108 132 174 338 380 404 420 462 464 492 512	310052196162
SPT(16)	1271956792462474837	0 10 36 90 94 96 112 132 154 174 190 192 196 250 276 286	334339935080
TPT(14)	1271956867248937979	0 2 30 32 42 44 132 134 168 170 228 230 258 260	409126398222
SPT(16)	1271956889128596311	0 36 68 90 92 102 110 120 158 168 176 186 188 210 242 278	431006056554