Prime p₀= 1459869632346840467 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 76 2 76 2 52 2 (?)
a_n: 0 2 54 56 132 134 210 212 264 266
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: 266
Found by: MarkRBright
db: batch=78, k=10, 2 52 2 76 2

SPT(16)	1459868261194747109	0 14 30 98 138 140 158 192 200 234 252 254 294 362 378 392	-1371152093358
SPT(16)	1459868615384680957	0 16 54 66 96 126 172 184 222 234 280 310 340 352 390 406	-1016962159510
SPT(16)	1459868974114208491	0 22 40 60 78 100 162 168 250 256 318 340 358 378 396 418	-658232631976
SPT(16)	1459869047318441329	0 30 64 70 72 78 82 84 148 150 154 160 162 168 202 232	-585028399138
STPT(10)	1459869305670801209	0 2 18 20 30 32 42 44 60 62	-326676039258
SPT(16)	1459869488457759649	0 22 48 84 100 132 138 160 162 184 190 222 238 274 300 322	-143889080818
STPT(12)	1459870449624641081	0 2 30 32 60 62 66 68 96 98 126 128	817277800614
STPT(10)	1459870930903099019	0 2 42 44 90 92 138 140 180 182	1298556258552
TPT(14)	1459871128102283291	0 2 180 182 378 380 456 458 468 470 498 500 570 572	1495755442824
TPT(16)	1459871271716759507	0 2 12 14 72 74 90 92 144 146 210 212 240 242 474 476	1639369919040
TPT(14)	1459871517224764079	0 2 18 20 42 44 120 122 168 170 252 254 258 260	1884877923612