Prime p₀= 1264765705171838501 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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: 158
Found by: Theadalus
db: batch=77, k=10, 2 28 2 46 2

SPT(16)	1264763621858522491	0 12 18 52 66 70 88 96 142 150 168 172 186 220 226 238	-2083313316010
SPT(16)	1264764001267219819	0 28 84 90 100 108 114 132 220 238 244 252 262 268 324 352	-1703904618682
SPT(16)	1264764579298370537	0 32 56 60 74 80 134 150 176 192 246 252 266 270 294 326	-1125873467964
SPT(16)	1264764639864068333	0 14 20 26 60 74 78 156 158 236 240 254 288 294 300 314	-1065307770168
SPT(16)	1264764975818804723	0 48 86 90 96 168 170 186 338 354 356 428 434 438 476 524	-729353033778
SPT(16)	1264765043441050213	0 18 30 130 178 214 234 238 240 244 264 300 348 448 460 478	-661730788288
STPT(10)	1264765832047383437	0 2 30 32 72 74 114 116 144 146	126875544936
STPT(10)	1264766106206317457	0 2 30 32 42 44 54 56 84 86	401034478956
TPT(14)	1264766272757368529	0 2 30 32 42 44 108 110 168 170 192 194 210 212	567585530028
SPT(16)	1264766332902777767	0 6 12 62 86 104 110 116 210 216 222 240 264 314 320 326	627730939266
SPT(16)	1264766577417441697	0 36 54 70 100 102 106 114 172 180 184 186 216 232 250 286	872245603196