Prime p₀= 1734837005339587337 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: Senilix
db: batch=79, k=10, 2 22 2 16 2

SPT(16)	1734835338774983311	0 10 28 42 48 118 126 132 136 142 150 220 226 240 258 268	-1666564604026
TPT(14)	1734835472979485759	0 2 42 44 180 182 192 194 240 242 288 290 318 320	-1532360101578
SPT(16)	1734835984438090351	0 12 30 52 58 102 108 142 168 202 208 252 258 280 298 310	-1020901496986
STPT(10)	1734836668549213037	0 2 30 32 42 44 54 56 84 86	-336790374300
SPT(16)	1734836690435695459	0 34 70 82 142 162 172 174 238 240 250 270 330 342 378 412	-314903891878
STPT(10)	1734836939302391927	0 2 30 32 72 74 114 116 144 146	-66037195410
STPT(10)	1734837270144318881	0 2 30 32 78 80 126 128 156 158	264804731544
STPT(10)	1734837293306462909	0 2 12 14 90 92 168 170 180 182	287966875572
TPT(14)	1734838091970956051	0 2 60 62 78 80 198 200 210 212 288 290 366 368	1086631368714
SPT(16)	1734838291444057157	0 26 66 86 92 152 176 204 242 270 294 354 360 380 420 446	1286104469820
SPT(16)	1734838584223204951	0 30 58 102 130 156 178 186 232 240 262 288 316 360 388 418	1578883617614