Prime p₀= 2581345318795810751 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: JayPi
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	2581343388308737973	0 20 26 60 90 98 110 128 156 174 186 194 224 258 264 284	-1930487072778
SPT(16)	2581343546731226813	0 8 20 60 84 90 134 156 158 180 224 230 254 294 306 314	-1772064583938
SPT(16)	2581343547116125783	0 4 34 118 138 148 154 208 210 264 270 280 300 384 414 418	-1771679684968
SPT(16)	2581344567202751927	0 20 24 36 110 174 210 264 302 356 392 456 530 542 546 566	-751593058824
SPT(16)	2581345105789409221	0 6 28 30 40 42 48 52 96 100 106 108 118 120 142 148	-213006401530
STPT(10)	2581345279639582637	0 2 24 26 42 44 60 62 84 86	-39156228114
SPT(16)	2581345571304489623	0 18 60 84 96 104 138 200 204 266 300 308 320 344 386 404	252508678872
TPT(14)	2581345684093806557	0 2 42 44 102 104 300 302 312 314 342 344 354 356	365297995806
SPT(16)	2581345890101317751	0 126 132 152 192 200 222 252 296 326 348 356 396 416 422 548	571305507000
STPT(10)	2581346393506818407	0 2 30 32 42 44 54 56 84 86	1074711007656
STPT(10)	2581346631996403541	0 2 6 8 48 50 90 92 96 98	1313200592790