Prime p₀= 2596616955862823219 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: fzs600
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2596615329726453829	0 30 120 132 148 154 190 198 244 252 288 294 310 322 412 442	-1626136369390
STPT(10)	2596615492244733857	0 2 30 32 102 104 174 176 204 206	-1463618089362
SPT(16)	2596615665000137789	0 24 38 50 84 134 138 140 192 194 198 248 282 294 308 332	-1290862685430
SPT(16)	2596616373036485791	0 28 76 88 102 106 118 166 252 300 312 316 330 342 390 418	-582826337428
SPT(16)	2596616886181279321	0 12 40 66 72 136 192 210 232 250 306 370 376 402 430 442	-69681543898
SPT(16)	2596616886576433211	0 50 56 60 72 78 108 122 156 170 200 206 218 222 228 278	-69286390008
SPT(16)	2596616965715765939	0 14 18 20 48 50 78 84 134 140 168 170 198 200 204 218	9852942720
STPT(10)	2596616990803674071	0 2 36 38 78 80 120 122 156 158	34940850852
TPT(14)	2596616993890035239	0 2 12 14 90 92 132 134 210 212 300 302 312 314	38027212020
SPT(16)	2596617280592859241	0 40 42 72 76 82 90 130 168 208 216 222 226 256 258 298	324730036022
SPT(16)	2596617526934683339	0 10 54 70 162 168 192 220 222 250 274 280 372 388 432 442	571071860120