Prime p₀= 2766557818554162557 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: [SG-FC] hl
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2766556996498794493	0 16 40 70 106 120 126 196 234 304 310 324 360 390 414 430	-822055368064
SPT(16)	2766557143109516717	0 6 42 126 176 182 186 204 212 230 234 240 290 374 410 416	-675444645840
SPT(16)	2766557287121800369	0 70 88 220 228 234 250 274 378 402 418 424 432 564 582 652	-531432362188
STPT(10)	2766557321372482607	0 2 54 56 72 74 90 92 144 146	-497181679950
SPT(16)	2766557649513453031	0 88 90 126 208 210 238 286 342 390 418 420 502 538 540 628	-169040709526
SPT(16)	2766557757641815271	0 18 32 38 60 72 80 98 102 120 128 140 162 168 182 200	-60912347286
STPT(10)	2766558099380303279	0 2 42 44 60 62 78 80 120 122	280826140722
SPT(16)	2766558139379086573	0 30 34 70 96 100 108 120 154 166 174 178 204 240 244 274	320824924016
STPT(12)	2766558539052684557	0 2 42 44 102 104 150 152 210 212 252 254	720498522000
TPT(14)	2766558893275270967	0 2 30 32 84 86 144 146 240 242 264 266 282 284	1074721108410
SPT(16)	2766558971497068799	0 18 42 58 64 72 102 108 154 160 190 198 204 220 244 262	1152942906242