Prime p₀= 2777821528399586477 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: Orange Kid
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2777819553653116249	0 4 12 18 34 54 78 138 154 214 238 258 274 280 288 292	-1974746470228
SPT(16)	2777819687565133361	0 56 68 78 86 90 138 218 300 380 428 432 440 450 462 518	-1840834453116
STPT(10)	2777820288675616937	0 2 30 32 42 44 54 56 84 86	-1239723969540
SPT(16)	2777820337853695499	0 54 72 84 92 110 150 162 200 212 252 270 278 290 308 362	-1190545890978
TPT(14)	2777820814572922289	0 2 12 14 42 44 78 80 162 164 252 254 348 350	-713826664188
STPT(10)	2777821072692849509	0 2 18 20 30 32 42 44 60 62	-455706736968
SPT(16)	2777821707400623883	0 28 54 58 88 96 138 186 238 286 328 336 366 370 396 424	179001037406
STPT(10)	2777821934086600787	0 2 12 14 42 44 72 74 84 86	405687014310
SPT(16)	2777821995087302543	0 44 48 80 86 156 164 198 266 300 308 378 384 416 420 464	466687716066
SPT(16)	2777821995954435107	0 2 30 84 110 116 144 152 174 182 210 216 242 296 324 326	467554848630
STPT(10)	2777822516943240551	0 2 36 38 78 80 120 122 156 158	988543654074