Prime p₀= 2706823942894894367 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: JayPi
db: batch=82, k=10, 2 28 2 10 2

STPT(12)	2706822190723192427	0 2 12 14 30 32 114 116 132 134 144 146	-1752171701940
TPT(14)	2706822394652247029	0 2 12 14 42 44 72 74 90 92 138 140 222 224	-1548242647338
SPT(16)	2706822464659847231	0 18 36 98 162 168 176 216 272 312 320 326 390 452 470 488	-1478235047136
SPT(16)	2706822478876272277	0 22 34 100 112 124 174 204 280 310 360 372 384 450 462 484	-1464018622090
STPT(10)	2706822537552529937	0 2 30 32 72 74 114 116 144 146	-1405342364430
SPT(16)	2706822944142024457	0 12 46 60 102 124 154 190 246 282 312 334 376 390 424 436	-998752869910
SPT(16)	2706824043847883317	0 70 100 112 142 154 166 180 196 210 222 234 264 276 306 376	100952988950
SPT(16)	2706824204671483207	0 22 70 90 132 150 160 166 246 252 262 280 322 342 390 412	261776588840
SPT(16)	2706824499933157529	0 32 72 120 144 158 228 242 300 314 384 398 422 470 510 542	557038263162
SPT(16)	2706824742155467513	0 34 40 76 130 144 156 178 216 238 250 264 318 354 360 394	799260573146
STPT(10)	2706824774760500897	0 2 24 26 42 44 60 62 84 86	831865606530