Prime p₀= 2569850727787285751 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: JayPi
db: batch=82, k=10, 2 4 2 40 2

SPT(16)	2569849210038896087	0 54 56 66 74 80 96 156 164 224 240 246 254 264 266 320	-1517748389664
TPT(14)	2569850204735762789	0 2 42 44 150 152 168 170 192 194 222 224 282 284	-523051522962
SPT(16)	2569850251402738921	0 28 100 108 138 156 192 250 408 466 502 520 550 558 630 658	-476384546830
STPT(10)	2569850339186564039	0 2 12 14 90 92 168 170 180 182	-388600721712
SPT(16)	2569850497385315041	0 66 102 106 112 126 130 132 256 258 262 276 282 286 322 388	-230401970710
STPT(10)	2569850556352521941	0 2 36 38 78 80 120 122 156 158	-171434763810
SPT(16)	2569850774518056539	0 12 20 42 54 74 102 132 152 182 210 230 242 264 272 284	46730770788
STPT(10)	2569850907230582159	0 2 18 20 30 32 42 44 60 62	179443296408
SPT(13)	2569850909023556251	0 18 30 60 66 90 108 126 150 156 186 198 216	181236270500
TPT(14)	2569850971389382727	0 2 12 14 54 56 60 62 72 74 90 92 102 104	243602096976
STPT(10)	2569851178947199331	0 2 30 32 60 62 90 92 120 122	451159913580