Prime p₀= 1278036066801333809 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 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: HenkM
db: batch=77, k=10, 2 10 2 16 2

SPT(16)	1278034381898160197	0 24 50 56 104 110 126 204 236 314 330 336 384 390 416 440	-1684903173612
STPT(10)	1278035060187142391	0 2 36 38 78 80 120 122 156 158	-1006614191418
STPT(12)	1278035274954568181	0 2 30 32 60 62 198 200 228 230 258 260	-791846765628
STPT(10)	1278035378687390171	0 2 36 38 78 80 120 122 156 158	-688113943638
STPT(10)	1278035571636608957	0 2 12 14 72 74 132 134 144 146	-495164724852
SPT(16)	1278035601612876367	0 46 70 72 84 94 112 132 154 174 192 202 214 216 240 286	-465188457442
SPT(20)	1278036182066012921	0 222 242 248 272 282 290 300 318 362 396 440 458 468 476 486 510 516 536 758	115264679112
STPT(10)	1278036230960620487	0 2 30 32 72 74 114 116 144 146	164159286678
STPT(10)	1278036277456034561	0 2 90 92 108 110 126 128 216 218	210654700752
STPT(10)	1278037306955222381	0 2 126 128 138 140 150 152 276 278	1240153888572
STPT(10)	1278037516712623361	0 2 36 38 78 80 120 122 156 158	1449911289552