Prime p₀= 1267852597274660669 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: Megacruncher
db: batch=77, k=10, 2 16 2 10 2

TPT(14)	1267850750045534507	0 2 12 14 72 74 144 146 180 182 222 224 240 242	-1847229126162
SPT(16)	1267850850945076553	0 30 44 56 60 78 80 116 168 204 206 224 228 240 254 284	-1746329584116
SPT(16)	1267851601873198591	0 6 16 106 112 132 142 190 222 270 280 300 306 396 406 412	-995401462078
SPT(16)	1267852221046574213	0 30 50 66 84 86 156 164 240 248 318 320 338 354 374 404	-376228086456
SPT(16)	1267852448988453319	0 10 24 34 52 60 90 172 192 274 304 312 330 340 354 364	-148286207350
STPT(10)	1267852547385530549	0 2 18 20 60 62 102 104 120 122	-49889130120
STPT(10)	1267852912632627857	0 2 30 32 42 44 54 56 84 86	315357967188
TPT(14)	1267853016118856621	0 2 18 20 60 62 108 110 126 128 156 158 198 200	418844195952
TPT(14)	1267853209195723877	0 2 24 26 150 152 210 212 264 266 270 272 282 284	611921063208
STPT(10)	1267853343637379669	0 2 78 80 120 122 162 164 240 242	746362719000
SPT(16)	1267853744919128119	0 34 42 58 78 82 124 142 180 198 240 244 264 280 288 322	1147644467450