Prime p₀= 2896564405532618999 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: [SG-FC] hl
db: batch=82, k=10, 2 10 2 76 2

SPT(16)	2896562730464866637	0 14 42 44 54 56 102 144 182 224 270 272 282 284 312 326	-1675067752362
SPT(16)	2896563043141735801	0 22 60 78 100 106 130 148 150 168 192 198 220 238 276 298	-1362390883198
SPT(16)	2896563617453570531	0 96 110 120 140 146 162 192 206 236 252 258 278 288 302 398	-788079048468
STPT(10)	2896563792862691849	0 2 18 20 60 62 102 104 120 122	-612669927150
SPT(16)	2896564054161064751	0 18 32 72 80 90 92 120 128 156 158 168 176 216 230 248	-351371554248
STPT(10)	2896564095871969811	0 2 78 80 138 140 198 200 276 278	-309660649188
STPT(10)	2896565338360306367	0 2 30 32 42 44 54 56 84 86	932827687368
STPT(10)	2896565945342712059	0 2 18 20 30 32 42 44 60 62	1539810093060
TPT(14)	2896565977412006231	0 2 138 140 180 182 246 248 360 362 378 380 390 392	1571879387232
SPT(16)	2896566082250098333	0 4 40 48 88 96 118 144 190 216 238 246 286 294 330 334	1676717479334
STPT(10)	2896566129586002647	0 2 54 56 72 74 90 92 144 146	1724053383648