Prime p₀= 2999720832213765599 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: Chaunton
db: batch=82, k=10, 2 40 2 16 2

TPT(14)	2999719463957813999	0 2 120 122 132 134 150 152 180 182 252 254 288 290	-1368255951600
SPT(16)	2999719716951819013	0 6 54 70 136 144 150 166 174 190 196 204 270 286 334 340	-1115261946586
TPT(14)	2999720124865932701	0 2 6 8 48 50 330 332 336 338 366 368 396 398	-707347832898
STPT(10)	2999720154107563091	0 2 6 8 18 20 30 32 36 38	-678106202508
STPT(10)	2999720278046278151	0 2 30 32 78 80 126 128 156 158	-554167487448
STPT(12)	2999720396989724489	0 2 30 32 42 44 90 92 102 104 132 134	-435224041110
STPT(10)	2999720904615878039	0 2 42 44 60 62 78 80 120 122	72402112440
STPT(10)	2999720905388683841	0 2 30 32 78 80 126 128 156 158	73174918242
STPT(10)	2999721023065702457	0 2 30 32 42 44 54 56 84 86	190851936858
SPT(16)	2999721064442263199	0 54 80 84 104 128 150 168 194 212 234 258 278 282 308 362	232228497600
SPT(16)	2999722070155104641	0 6 32 50 62 92 96 120 152 176 180 210 222 240 266 272	1237941339042