Prime p₀= 2737998745084132469 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: JayPi
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2737996765774604749	0 18 24 48 52 84 100 108 154 162 178 210 214 238 244 262	-1979309527720
STPT(12)	2737997747316141839	0 2 12 14 18 20 42 44 48 50 60 62	-997767990630
SPT(16)	2737997834797781623	0 28 34 46 78 84 124 166 168 210 250 256 288 300 306 334	-910286350846
SPT(16)	2737998086728638973	0 4 10 16 46 84 106 126 208 228 250 288 318 324 330 334	-658355493496
TPT(14)	2737998601659689999	0 2 78 80 120 122 180 182 198 200 210 212 222 224	-143424442470
SPT(16)	2737998712642434053	0 24 26 60 156 158 164 288 326 450 456 458 554 588 590 614	-32441698416
STPT(10)	2737999206165615911	0 2 30 32 78 80 126 128 156 158	461081483442
STPT(10)	2737999310823718679	0 2 12 14 90 92 168 170 180 182	565739586210
STPT(10)	2737999433191089017	0 2 30 32 42 44 54 56 84 86	688106956548
SPT(16)	2737999497570504119	0 8 32 60 110 120 122 150 212 240 242 252 302 330 354 362	752486371650
SPT(16)	2737999780421728579	0 18 28 42 64 82 102 108 124 130 150 168 190 204 214 232	1035337596110