Prime p₀= 2256065791187603567 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: Orange Kid
db: batch=81, k=10, 2 40 2 28 2

SPT(16)	2256062795073325991	0 32 96 120 126 132 152 188 210 246 266 272 278 302 366 398	-2996114277576
TPT(14)	2256063166131424541	0 2 180 182 246 248 258 260 288 290 306 308 336 338	-2625056179026
STPT(10)	2256063369694284131	0 2 36 38 78 80 120 122 156 158	-2421493319436
SPT(16)	2256064150296077279	0 12 30 98 138 140 152 162 188 198 210 212 252 320 338 350	-1640891526288
STPT(10)	2256065547601238699	0 2 18 20 30 32 42 44 60 62	-243586364868
SPT(16)	2256065721472264393	0 6 40 96 108 118 136 168 208 240 258 268 280 336 370 376	-69715339174
STPT(10)	2256066048000104309	0 2 12 14 30 32 48 50 60 62	256812500742
SPT(16)	2256066520862453753	0 6 56 84 104 126 146 156 158 168 188 210 230 258 308 314	729674850186
SPT(16)	2256067210388694169	0 24 70 124 162 180 192 210 232 250 262 280 318 372 418 442	1419201090602
SPT(16)	2256067379553178781	0 30 42 56 62 66 80 126 212 258 272 276 282 296 308 338	1588365575214
TPT(14)	2256067432344778907	0 2 54 56 84 86 114 116 282 284 324 326 402 404	1641157175340