Prime p₀= 2731602789678451259 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: JayPi
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2731602027783444301	0 10 48 76 78 82 120 132 226 238 276 280 282 310 348 358	-761895006958
STPT(10)	2731602348789723047	0 2 60 62 72 74 84 86 144 146	-440888728212
STPT(10)	2731602501660062111	0 2 156 158 198 200 240 242 396 398	-288018389148
STPT(10)	2731602529503169037	0 2 42 44 72 74 102 104 144 146	-260175282222
STPT(10)	2731602612691460117	0 2 30 32 42 44 54 56 84 86	-176986991142
SPT(16)	2731602692059567549	0 4 10 12 28 48 60 70 72 82 94 114 130 132 138 142	-97618883710
SPT(16)	2731602874036289017	0 30 70 102 156 196 216 232 240 256 276 316 370 402 442 472	84357837758
SPT(16)	2731602937087708069	0 40 42 60 130 138 144 150 172 178 184 192 262 280 282 322	147409256810
STPT(10)	2731603363402559417	0 2 30 32 72 74 114 116 144 146	573724108158
SPT(16)	2731603543894379821	0 18 28 30 76 88 108 148 198 238 258 270 316 318 328 346	754215928562
STPT(10)	2731603720516730357	0 2 84 86 132 134 180 182 264 266	930838279098