Prime p₀= 2245496409983729657 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: FritzB
db: batch=81, k=10, 2 40 2 28 2

SPT(16)	2245495508886203053	0 6 28 78 168 190 210 216 238 244 264 286 376 426 448 454	-901097526604
STPT(10)	2245495871559880337	0 2 30 32 72 74 114 116 144 146	-538423849320
SPT(16)	2245495957650870241	0 6 36 42 76 78 88 106 132 150 160 162 196 202 232 238	-452332859416
SPT(16)	2245496012181063449	0 14 44 62 80 114 120 134 210 224 230 264 282 300 330 344	-397802666208
SPT(16)	2245496029252232807	0 42 72 74 92 110 114 140 156 182 186 204 222 224 254 296	-380731496850
SPT(16)	2245496319974841943	0 10 18 34 70 100 114 120 184 190 204 234 270 286 294 304	-90008887714
SPT(16)	2245496570842734229	0 48 88 100 144 174 184 202 210 228 238 268 312 324 364 412	160859004572
STPT(10)	2245496597328280661	0 2 30 32 78 80 126 128 156 158	187344551004
STPT(10)	2245496740351743377	0 2 30 32 72 74 114 116 144 146	330368013720
STPT(10)	2245497070285711367	0 2 30 32 72 74 114 116 144 146	660301981710
TPT(14)	2245497327893095049	0 2 42 44 72 74 102 104 132 134 168 170 222 224	917909365392