Prime p₀= 2777678854113264947 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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 22 2 16 2

SPT(16)	2777676799188451301	0 78 98 126 140 168 206 218 228 240 278 306 320 348 368 446	-2054924813646
SPT(16)	2777677194791390813	0 6 8 38 96 120 146 168 188 210 236 260 318 348 350 356	-1659321874134
STPT(10)	2777677855377061421	0 2 36 38 78 80 120 122 156 158	-998736203526
SPT(16)	2777678229081210353	0 6 8 30 96 98 120 240 314 434 456 458 524 546 548 554	-625032054594
SPT(16)	2777678358248737243	0 10 114 126 136 156 160 196 198 234 238 258 268 280 384 394	-495864527704
STPT(10)	2777678484143872247	0 2 30 32 180 182 330 332 360 362	-369969392700
SPT(16)	2777679056625269569	0 42 192 258 264 274 300 322 330 352 378 388 394 460 610 652	202512004622
SPT(16)	2777679130627934513	0 14 26 30 36 56 78 84 110 116 138 158 164 168 180 194	276514669566
STPT(10)	2777679163597918607	0 2 30 32 42 44 54 56 84 86	309484653660
SPT(18)	2777679203681020433	0 14 36 44 60 86 98 116 120 134 138 156 168 194 210 218 240 254	349567755486
STPT(10)	2777679320291889437	0 2 54 56 72 74 90 92 144 146	466178624490