Prime p₀= 2797008740074815347 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: Groo
db: batch=82, k=10, 2 10 2 58 2

SPT(16)	2797007605046472283	0 4 46 48 64 90 96 120 124 148 154 180 196 198 240 244	-1135028343064
SPT(16)	2797007697929651881	0 12 16 42 70 72 108 156 232 280 316 318 346 372 376 388	-1042145163466
STPT(10)	2797008353576767217	0 2 30 32 42 44 54 56 84 86	-386498048130
STPT(10)	2797008508007297369	0 2 30 32 60 62 90 92 120 122	-232067517978
TPT(14)	2797008521638059719	0 2 12 14 102 104 168 170 222 224 240 242 300 302	-218436755628
SPT(16)	2797008609260535269	0 14 18 20 68 78 84 98 144 158 164 174 222 224 228 242	-130814280078
SPT(16)	2797009084783379287	0 72 132 136 150 160 196 220 222 246 282 292 306 310 370 442	344708563940
STPT(10)	2797009504957838879	0 2 42 44 60 62 78 80 120 122	764883023532
SPT(16)	2797009752485471141	0 2 72 86 90 132 182 210 212 240 290 332 336 350 420 422	1012410655794
STPT(10)	2797009991956141307	0 2 54 56 132 134 210 212 264 266	1251881325960
TPT(14)	2797010207889935447	0 2 54 56 60 62 90 92 102 104 174 176 282 284	1467815120100