Prime p₀= 1451562985276150457 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: Theadalus
db: batch=78, k=10, 2 10 2 28 2

STPT(10)	1451561896310201747	0 2 30 32 42 44 54 56 84 86	-1088965948710
STPT(10)	1451562173768747039	0 2 18 20 30 32 42 44 60 62	-811507403418
SPT(16)	1451562177316664429	0 14 38 74 92 120 150 168 224 242 272 300 318 354 378 392	-807959486028
SPT(16)	1451562709606202527	0 70 120 132 154 162 166 180 196 210 214 222 244 256 306 376	-275669947930
SPT(16)	1451562882665830553	0 26 38 56 68 90 104 150 164 210 224 246 258 276 288 314	-102610319904
SPT(16)	1451562972268380143	0 14 54 74 78 98 116 144 170 198 216 236 240 260 300 314	-13007770314
TPT(14)	1451563134987756617	0 2 12 14 72 74 180 182 192 194 324 326 360 362	149711606160
STPT(10)	1451563331734978841	0 2 36 38 78 80 120 122 156 158	346458828384
SPT(16)	1451563385655039793	0 16 34 48 66 108 154 166 168 180 226 268 286 300 318 334	400378889336
SPT(16)	1451563555604899039	0 10 18 52 78 114 130 162 220 252 268 304 330 364 372 382	570328748582
STPT(10)	1451563810541954531	0 2 36 38 78 80 120 122 156 158	825265804074